INTRO TO STATISTICS 1
INTRO TO STATISTICS 1 STA 2023
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STA 2023 Practice Questions What you need to know Final Exam General Format for Con dence Interval estimator t or z est standard error General Format of Test Statistic t or Table given to you on the test STATISTICAL INFERENCE TABLE estimator from Ht7 estimate of stderr Case parameter estimator standard error Sampling Distribution one mean U f s t nl A Mean of matched pairs ud Ed 301 t nl dif J difference 1 2 f1 Z 312 322 t with conservative oftwo df smallest of independent n1 quot2 nll and n2 1 means one A A pd p A CI proportion P p n 2 ST p0 p0 ll n difference A A CI A 1 I31 Z32 1 32 oftwo p1 pZ p1 pz nl n 2 independent 2 proportions A A 1 1 ST p1 p n1 n2 McNemar M M W YNNY Questions 1 4 An J quot 39 has A 39 I J anew 39 39 1 to teach Spanish to high school students To prove this new method is better she will teach two groups of students for an entire semester one with the new method and one with the standard method used today in high schools She wishes to obtain 12 sets of identical twins 24 people total and split the twins up so that one of each twin is in Class 1 which will receive the new technique and one is in Class 2 which will receive the old technique At the end of the semester both classes will take a standardized exam and the results will be compared 1 What method should be used to analyze this data a one mean b two independent means c comparing means of dependent samples d two independent proportions 2 What should our hypotheses be to test if your new method is better than the old method a H0 ul uz 0 vs HA ul uz lt 0 b H0 MD 0 vs HA uDlt 0 0 H01 H1 Hz 0 VS HA1 Her gt 0 d H0 HD 0 vs HA MD gt 0 3 What distribution would you use to look up the pvalue for this test of hypothesis a t l l b t l 2 c t23 d Z 4 Suppose we collect the data from this experiment and we nd a pvalue of 0009 Which of the following is our conclusion at any reasonable alpha level a There is no statistically signi cant evidence of a difference among the two educational methods b There is evidence that the old method is better than the new method c There is evidence that the new method is better than the old method d We cannot determine without more information Questions 5 7 use the following modi cations to the above scenario Unable to obtain the 12 sets of twins to conduct the experiment the researcher has to use two existing Spanish classes at a local high school one with 12 students and the other one with 11 students 5 What method should be used to analyze this data a one mean b two independent means c comparing means of dependent samples d two independent proportions 6 What should our hypotheses be to test if your new method is better than the old method a H0 ul uz 0 vs HA ul uz lt 0 b H0 uD 0 vs HA pm lt 0 c H0 ul uz 0 vs HA ul uz gt 0 d H0 HD 0 vs HA MD gt 0 7 What distribution would you use to look up the pValue for this test of hypothesis a tll b t10 c t23 d Z 8 Find the t value for a 99 con dence interval a 3169 b 2576 c 3250 d 2821 Questions 9 11 We suspect that men are convicted of DUI driving under the in uence of alcohol or drugs more often than women Let p1 be the proportion of males convicted of a DUI offense and pzythe proportion of females convicted of a DUI offense 9 Ifthe 95 CI for p1 p2 is 163 02 Which ofthe following can we conclude a There is evidence that males have a higher proportion of convictions for DUI than females b There is evidence that females have a higher proportion of convictions for DUI than males c There is no statistically significant evidence that there is a difference in the proportion of convictions for DUI for males and females 10 Suppose we test H0 p1pz 0 vs HA p1 pz 0 What can we say about the pValue a it is greater than 05 b it is less than 05 c it is less than 025 d cannot say anything about the pValue 11 Are there any problems with the assumptions necessary for these conclusions to be valid a The data may not have been randomly selected and thus not representative of the population b The sample sizes may not have been large enough for the formulas to be appropriate c There may be problems with both randomness and sample sizes d There are no problems with this data Questions 12 14 Many university courses require students to type their written assignments Do students get better at typing because of this Researchers want to see if incoming freshmen have a slower average typing rate in words per minute than graduating seniors A random sample of 50 freshmen and 50 seniors was taken and each was given a typing test to determine their typing rate This data was entered into Minitab and the results are shown below N Mean StDeV SE Mean Freshmen 50 279 134 19 Seniors 50 340 125 18 95 CI for mu Freshmen mu Seniors 112 O9 T Test mu Freshmen mu Seniors vs lt T 232 P 0011 DF 97 12 Which of the following can we conclude from this output at the 95 confidence level a There is evidence that freshmen have a lower average typing rate than seniors b There is evidence that freshmen have a higher average typing rate than seniors cThere is evidence that Freshmen and seniors type at exactly the same rate on average d There is no statistically significant evidence to show a difference between the mean typing rates of freshmen and seniors 9 Which of the following statements are true I With a pvalue equal to 0011 we are con dent that the mean typing rate for freshmen is smaller than the mean typing rate for seniors II The probability that the true mean difference for freshmenseniors lies between 09 and ll2 is 95 III The probability that the mean typing rate of freshmen equals the mean typing rate ofseniors is 011 a Only I is true b Only III is true c Only I amp II are true d All three statements are true 14 Which of these are necessary assumptions when making inferences based on this data I Each sample is randomly drawn from the population II The two samples are independent III Each population size is at leasth times larger than the sample size from that population a Only I is assumed b Only III is assumed c Only I amp II are assumed d Allthree are assumed Questions 15 20 Global warming has gotten a lot of media attention over the past few years but researchers in Antarctica are keeping track of temperatures at the South Pole to try to see if temperatures really are rising They know that from 19001999last century the average temperature at the South Pole was 6 degrees Celsius They have randomly sampled 25 days from the past 2 yearsthis century and collected the following data 60 13 24 04 34 21 61 64 11 42 380 01 05 58 35 28 65 43 15 18 19 28 35 08 21 15 What are the appropriate H0 and Ha to use here a H0 p 21 Ha p gt 21 bH0u6 Haugt6 cH0 u6 Hau6 dH0u1u20 Hau1u20 eH0u1u20 Hau1u2gt0 16 What is the standard error a 826 b 809 c 1618 d 1652 17 What is the Test Statistic for this test a 49 b 389 c 128 d 235 18 Suppose the Test Statistic was 24 Then the pvalue is between a 01 and 025 b 02 and 025 c005 and01 d10 and15 19 The 98 Con dence Interval obtained from this sample is 599 179 Based on this interval which of the following statements are true We are 98 confident that Be careful Hint What type of test is this a the true mean temperature of this century is between 599 degrees lower and 179 degrees higher than the true mean temperature of last century at the South Pole b the true mean temperature of this century is between 599 degrees higher and 179 degrees lower than the true mean temperature of last century at the South Pole c the true mean temperature of this century is different than the true mean temperature of last century at the South Pole d the true mean temperature of this century is the same as the true mean temperature of last century at the South Pole e None of the above statements are true 20 Which of the following problems cast doubts on our conclusions The data was not randomly selected b The data is not representative of the whole century The data does not seem to come from a Normal distribution all of the above only a and b only b and c g only a and c s V C9338 Questions 21 23 Is lefthandedness associated with gender in some way Researchers were trying to determine if a connection could be made between the dominant hand and gender in high school students They randomly sampled 1417 high school students across the country and obtained the following data Male Female Studentsl Students2 Left Handed Students 68 97 Right Handed Students 545 707 21 What is the population of interest here all lefthanded high school students in the country all righthanded high school students in the country all male high school students in the country all female high school students in the country e all high school students in the country 333 22 The 95 CI was 00430 00242 What can we conclude about the proportions ofleft handed students among male and female high school students at the 95 con dence level a There is eVidence that the true proportion of male students that are left handed is higher than the true proportion of female students that are left handed b There is eVidence that the true proportion of male students that are left handed is lower than the true proportion of female students that are left handed c There is eVidence that the true proportion of male students that are left handed is equal to the true proportion of female students that are left handed d We cannot conclude that the true proportion of male students that are left handed is different from the true proportion of female students that are left handed 23 Which of the following assumptions necessary for the validity of this test we suspect was Violated in this case a data may not have been randomly selected b males and females are not independent c samples were too small d none seems to be Violated Questions 24 27 Below is data collected from a random sample of 3647 American professionals from 10 urban cities We would like to know if male professionalsl are more likely to have children than female2 professionals of the same age 3338 WOMEN TOTALS 24 This would be best analyzed as a a comparing means of dependent samples b One proportion c Two independent means d Two independent proportions N Ul Which data from the table above would we be analyzing in this case a all women vs all men b women aged 3338 vs men aged 3338 c women aged 3338 vs totals for all people 3338 d women aged 3338 with children vs women aged 3338 without children 26 Are there any problems with this data that would violate the assumptions a Yes there is an outlier b Yes all the counts are too large c Yes the data does not come from a Normal distribution d No problems Minitab gave the following output for this analysis 95 CI for pl p2 0206951 0297170 Test for pl plZ 0 vs gt 0 Z 1095 P Value 0000 27 What conclusion can we make about professional men and women aged 3338 in urban cities a There is not enough statistically significant evidence to conclude that professional men are more likely than professional women in this age group to have children b There is evidence that the proportion of professional men who have children is different than the proportion of professional women in this age group c There is evidence that the professional men are significantly more likely to have children than professional women in this age group d There is evidence that professional women are significantly more likely to have children than professional men in this age group 28 An August 1999 ABC news poll of 506 Americans found that 4 of Americans cited to go further in space as their top priority for the new millennium while 2 said eliminate world hunger The 95 confidence interval for the difference in proportions was 00098 04098 What can we conclude a There is not enough statistically signi cant evidence to prove that more Americans support space advances than a solution to world hunger b The proportion of people in the population who support space advances and a solution to world hunger is exactly the same c We are 95 con dent that more Americans support space advances than a solution to world hunger We are 95 con dent that more Americans support a solution to world hunger than space advances d V Questions 29 35 Which case is it You can use each answer more than once a one mean b one proportion matched pairs with means two independent means two independent proportions D o V3V 29 A manufacturer of nails is interested in determining if their nails are meeting specifications A sample of 100 nails was taken Is the average length of the nails longer than 3 inches 30 A sociologist suspects that members of pairs of heterosexual siblings of the same gender brotherbrother or sistersister get married at earlier ages on average than siblings who come from mixedgender brothersister pairs 31 Does pesticide X affect the yield in lbs of any of 10 different varieties of tomatoes Two fields one treated and one untreated are planted with 2 rows each of 10 varieties of tomatoes and their yields are compared 32 A gourmet pet food shop owner wants to estimate how many of his customers would continue to shop with him if he moved across town He asks a random 50 shoppers if they d drive across town to shop with him and he makes a confidence interval to help make the decision to move or not 33 The migration of African buffalo herds might be affected by the weight of the transponder used to track them Last year the scientists tried their standard transponder on eight herds of buffalo and recorded how far each group traveled This year they will swap out the heavy transponders with more expensive lighter ones and see if the same buffalo herds travel farther than last year 34 A political action group wonders if college graduates are more likely to support increased penalties for repeat offenders than are those without college degrees 35 Is the icecream cup filling machine accurate or not A random sample of 20 quarts of ice cream is taken to see if the average contents is 247 mL of product 36 Does eating breakfast improve productivity In a Guess jeans factory the workers of one sewing crew of 20 are fed a hearty breakfast for a month and then the same sewing crew of 20 is asked to go without eating until lunch time for another month The teams productivity is compared for the two months 37 Equal rights activists claim that if admissions into a college s architecture program are fair half of all students admitted should be female To test this hypothesis they look at admissions data from 1982 before aggressive recruiting of women and 2001 asking Has the proportion of women admitted changed significantly in the last decade General Questions 38 When are pvalues negative a when the test statistic is negative b when the sample statistic is smaller than the hypothesized value of the parameter c when the confidence interval includes only negative values d when we fail to reject the null hypothesis e never 39 When can we decide to fail to reject the null hypothesis by looking at a confidence interval a when the interval includes only negative values b when the interval includes only positive values c when the interval includes both positive and negative values d when the interval includes the hypothesized value of the parameter e never Questions 39 42 Two UF students are investigating how long it takes shoppers to nd parking spaces at the PubliX in Butler Plaza on different days of the week To collect data they position themselves at the parking lot entrance closest to PubliX and using a stopwatch they record how long in minutes it takes every fth car to come to a complete stop in a parking space Parkwkda regards data collected on a weekday Parksat on Saturday and Parkgame on a Saturday which was also a UF football game dayNOTE Minitab output appears on the following page Some are relevant to this question and some are not Read them carefully 40 How long on average does it take those in the sample to find a parking space on a weekday a 0935 minutes b 0395 minutes c 0740 minutes d cannot be determined from the information given 41 Does it take longer to find a parking space on Saturday than on a weekday This should be analyzed as a two independent means b two independent proportions c comparing means of dependent samples 42 What can we conclude about the time it takes to find a parking space on Saturday compared to a weekday a The pvalue for this significance test is 23 which means there is not enough statistically significant evidence to prove a significant difference between these two times b The pvalue for this significance test is 33 which means there is not enough statistically significant evidence to prove a significant difference between these two times c The pvalue for this significance test is 0005 which means that there is evidence that it takes longer on a Saturday to find a parking space The pvalue for this significance test is 002 which means that there is evidence that the time to find a space on Saturday is different than on a weekday V d V 43 Does it take longer to find a parking space on a Saturday than on a game day This should be analyzed as a two independent means b two independent proportions c comparing means of dependent samples 44 What can we conclude about the time it takes to nd a parking space on a Saturday compared to a game day a The pvalue for this significance test is 23 which means there is not enough statistically signi cant evidence to prove a significant difference between these two times b The pvalue for this significance test is 33 which means there is not enough statistically evidence to prove a significant difference between these two times c The pvalue for this significance test is 0005 which means that that there is evidence that it takes longer on a game day than on a Saturday to find a parking space d The pvalue for this significance test is 002 which means that there is evidence that the time to find a space on a game day is different than on a Saturday Two Sample TTest and Confidence Interval Two sample T for parkwkday vs parksat N Mean StDev SE Mean parkwkda 20 0395 0307 0069 parksat 20 0935 0583 013 95 CT for mu parkwkda mu parksat 0842 024 TTest mu parkwkda mu parksat vs lt T 366 P 00005 DE 28 Paired TTest and Confidence Interval Paired T for parkwkday parksat N Mean StDev SE Mean parkwkda 20 0395 0307 0069 parksat 20 0935 0583 0130 Difference 20 0540 0678 0152 95 CT for mean difference TTest of mean difference 0 0002 0857 0223 vs not 0 TValue 356 PValue Two Sample TTest and Confidence Interval Two sample T for parksat vs parkgameday N Mean StDev SE Mean parksat 20 0935 0583 013 parkgame 20 0740 0421 0094 95 CT for mu parksat mu parkgame 013 0522 TTest mu parksat mu parkgame vs not T 121 P 023 DE 34 Continued onto the next page Paired TTest and Confidence Interval Paired T for parksat parkgameday N Mean parksat 20 0935 parkgame 20 0740 Difference 20 0195 95 CI for mean difference TTest of mean difference 0 033 o lt StDev 05 04 08 217 vs not 83 21 79 SE Mean 0130 0094 0197 0607 0 TValue 099 PValue 45Which of the following is TRUE A s V For the method of two independent means the size of the two samples can be different b Matched pairs design uses the standard normal distribution since the population is required to be normal c The method of two independent means can be used for categorical response variables whereas matched pairs design cannot d All of the above Which of the following is TRUE a Matched pairs design benefits from the fact that potential sources of bias are controlled b The degrees of freedom for two independent means tests is n1nzl c We can use the normal distribution to find the pvalue with comparing proportions from two independent samples because the data comes from a normal distribution d All of the above Questions 47 49 According to a study in 2005 by American Research Group an American adult spends on average an amount of 942 on gifts for the Christmas holiday We claim that students at UF are likely to spend less than that amount To test this claim we randomly surveyed 25 students across campus the resulted sample mean is 82024 and the standard deviation is 2604 47 Which of the following hypothesis is correct A A a H0 u 942 Ha u lt 942 b H0u0 Hau 0 c H0 u 942 Ha u gt 942 d H0 u 942 Ha u i 942 Conduct the significant test what is the value of the test statistic a 2338 b 2338 c 0468 d 0468 What is the associated pvalue a 001 lt pvalue lt 0025 b 002 lt pvalue lt 005 c 0005 lt pvalue lt 00125 d pvalue 00096 50 A public health linic administers a survey that addresses patien satisfaction with services The survey uses a summary score on a 70 point scale with 70 indic Lting the highest possible satisfact on The sur Jey instrument has been tested in other environ nents and has historically had meai u 50 We seek evidence that this population has mean score u that is less than 50 and take a SRS of n 100 Suppose this sample gives a mean score of 484 an 1 a standard deviation s 75 What is he pvalue or this test a letween 05 and 025 b letween 1 and 025 c 166 d Ione of the Lbove 51 Lithium carbonae is a drug used to treat bipolar me 1tal disorders The average dose in well maintained patients s u 13 mEqL A random sample of 25 patients on lithium demonstrates a mean lit 1ium level it of 14 mEq L and a standard devi tion s 03 mEqL Conduct a one sample ttest to see i the observed difference is significant Use at 39osided alternative as imprope dosing wo 11d include both under and overdosing What is the pvalue for this test letween 05 and 01 letween 1 and 2 letween 05 and 1 letween 01 and 025 Ione of the Lbove 9999 52 A te t ofHo u 110 vs Ha u 110based on n 18 gives tsm 211 What is the pvalue for this problem a 5 b 25 c letween 05 and 1 d letween 01 and 025 e Ione of the Lbove 53 A sa nple of birt 1 weights grams of infants who had died of Sudden Infant Death Syndrome SIDS in a large metropolitan area was 2998 3740 2031 2804 2 454 2780 2203 3803 3948 2268 39he mean W ight of all births in this metropolitan was 3300 grams What are the degrees of freed rm associated with the onesample ttest of whether the mean birth weight of SIDS cases is significantly diffe 39ent from that of the rest of the pop lation Twosided test a 11 b 10 c d Ione of the Lbove 54 Suppose a study to determine if the height of male athletes is larger than the average male height believed to be 70 inches was performed on a sample of 100 athletes The pvalue for this test is 003 Which one of theses statements is true a We reject the null hypothesis at the or 01 005 but not at the 001 level b There is a 03 probability that we observe atest statistic as low this assuming the null hypothesis is true c 997 of the male athletes from the sample are taller than 70 inches d 997 of male athletes in general are taller than 70 inches e There is a 03 probability that we observe as low these assuming the null hypothesis is false Questions 55 56 The drying time of a certain type of paint under specified conditions is normally distributed with mean 75min Chemists have proposed a new additive designed to reduce the average drying time It is believed that drying times will remain normally distributed The hypotheses to be tested are Ho u75 versus Ha ult75 Experimental data from a random sample of 25 test specimens provided an estimate of 9 for the standard deviation 55 What is the test statistic 56 If the test statistic is equal to 280 for what values of o probability of Type I error would we reject Ho a 010 b 005 c 001 d All of the above Questions 57 59 A random sample of 31 students were asked two questions What is vour gender Male l or Female 2 How much monev in dollars did vou spend on 41 this semester The Minitab output looks like T Test and Confidence Interval T for Books Sex N Mean StDev SE Mean 1 17 325 116 28 2 14 2639 644 17 95 CI for mu 1 mu 2 7 129 T Test mu 1 mu 2 Vs not T 185 P 0076 DF 25 57 What hypotheses are being tested Let p denote the mean for book expenditure a Ho uluzy O versus Ha uluz0 b Ho uluz0 versus Ha uluzlt0 0 Ho uluz0 versus Ha tilmo d Ho illp230 versus Ha uluzgt0 58 What test is being used a lsample ttest b McNemar c paired ttest d 2sample ttest 59 At what signi cance level can we reject the Ho a At 1001 but not at 1010 b At 1005 but not at 1010 c At all F001 F005 F010 d A 1010 but not at 1005 e None of the above Questions 60 and 61 A researcher at a local university wants to nd out the relationship between person s height right before sleep and right after sleep She asks 50 people randomly selected to participate in the study These people monitor their heights for three days Every night right before the participants go to sleep they measure their height and then sleep for approximately eight hours After they wake up they measure their height again and take the difference between the measurements Difference Height After Sleep 7 Height Before Sleep This routine is performed for three consecutive nights and three differences are obtained Finally the differences are averaged to obtain an average difference D between heights The researcher is using the following hypothesis test in her study Ho up 0 Ha uD gt 0 60 What is the researcher trying to show using the above hypothesis test a People on average are taller after sleep than before sleep b People on average are shorter after sleep than before sleep c There is a difference between people s average height before and after sleep d There is no difference between people s average height before and after sleep 61 If the pvalue for the above hypothesis test is 021 what conclusion can we make with at being the usual 005 a There is evidence that people on average are taller after sleep than before sleep b There is evidence that people on average are shorter after sleep than before sleep c There is no statistically significant evidence of a difference between people s average height before and after sleep d There is definitely no statistically significant evidence of a difference between people s average height before and after sleep Questions 62 63 After finishing her study of people s heights the researcher finds an article about the relationship between people s weight before and after sleep The article describes a study done at one of the universities where an interesting result has been found Based on the result described in the article she wants to test whether students at her university weigh less after night s sleep Each student is weighed before and after sleeping 62 Based on researcher s goal what could be the possible null hypothesis of her hypothesis test a People weigh more on average after sleep b People weigh less on average after sleep c There is evidence of a difference between the people s average weight before and after sleep d There is no statistically significant evidence of a difference between people s average weight before and after sleep 63 If the pvalue for the test conducted by the researcher is 0003 or equal to 005 what can be said about the conclusion of the test a There is evidence that students at her university weigh more after sleep than before sleep b There is evidence that students at her university weigh less after sleep than before sleep c There is evidence that students at her university weigh the same before and after sleep d There is evidence that students at her university have different weight before and after sleep e No conclusion can be drawn from the obtained pvalue 64 In the problem described for questions 6263 and for 6061 what types of analysis were we performing a Both tests were comparisons of two independent proportions b Both tests were comparisons of two independent means c Both tests were comparisons of two dependent means d The first test was comparison of independent proportions and the second was comparison of independent means e The first test was comparison of independent means and the second was comparison of dependent means Questions 65 69 In some mining operations a byproduct of the processing is mildly radioactive Of prime concern is the possibility that release of these byproducts into the environment may contaminate the freshwater supply There are strict regulations for the maximum allowable radioactivity in supplies of drinking water namely an average of 5 picocuries per liter pCiL or less However it is well known that even safe water has occasional hot spots that eventually get diluted so samples of water are assumed safe unless there is evidence to the contrary A random sample of 25 specimens of water from a city39s water supply gave a mean of 5 39 pCiL and a standard deviation of 0767 pCiL 65What is the Hypothesis a Ho u539Ha uy 5 b Hou5 Hau 5 c Ho u 539 Ha u i 539 d Ho u 539 Ha u i 5 e Ho u 5 Ha uy 539 66What is the test statistic a 22542 b t 0508 c t 2542 d z 0508 67 What is the probability that the test statistic equals the observed value or a value even more extreme if the null hypothesis is true a bt 001 and 0005 b bt 001 and 002 c 0180 d 9910 68What is the 95 confidence interval for the population mean amount of radioactive byproducts a 507 571 b 500 577 c 509 569 d 492 564 69What is the conclusion ifyou use significance level a 005 a We fail to reject that the average radioactivity in the water is 5 pCiL b We fail to reject that the average radioactivity in the water is 539 pCiL c We have enough evidence to reject that the average radioactivity in the water is 5 pCiL d We have enough evidence to reject that the average radioactivity in the water is 539 pCiL 70What is the hypothesis for the McNemar test a Ho plp20 Ha pl p2gt0 b Ho plp20 Ha plp2lt0 c Ho plp20 Ha plp29 0 d Ho p0 Ha p 0 e Ho p0 Ha pgt0 7lWhat is the test statistics for the McNemar test for the table below a Test Statistic b Test Statistic c Test Statistic d Test Statistic e Test Statistic Jad Question 72 80 For a random sample of 1600 votingage Americans 944 people indicate approval of the President s performance in office A month later 880 of these same 1600 people indicate approval Table below shows the result T 880 720 72 Determine whether the sample is dependent or independent a Dependent b Independent 73 What is the value of the test statistic a Test statistic 525 or 525 b Test statistic 607 or 607 c Test statistic4l7 or 4 17 d Test statistic027l or 0271 74 Give the conclusion for the test take or 005 a We reject the null and conclude that there is no signi cant evidence of the change in approval rating b We fail to reject the null and conclude that there is signi cant evidence of the change in the approval rating c We accept the null and conclude that there is signi cant evidence of the change in the approval rating d We reject the null and conclude that there is signi cant evidence of the change in approval rating 75In hypothesis testing if you made a Type I error you would do which of the following a Reject Ho when Ho was True b Reject Ho when Ho was False c Fail to Reject Ho when Ho was True d Fail to Reject Ho when Ho was False 76 In hypothesis testing if you made a Type 11 error you would do which of the following a Reject Ho when Ho was True b Reject Ho when Ho was False c Fail to Reject Ho when Ho was True d Fail to Reject Ho when Ho was False Be able to determine what types of tests is being described One mean One proportion Comparing Two Independent Means Comparing Two Independent Proportions Comparing proportions from dependent samples Comparing means from dependent samples Be able to do find all of the following for the above tests Be able to determine if the assumptions are met or not Write the correct hypothesis statement using the correct parameters Be careful with the two sample tests Create a test statistic using the Statistical Inference table and the general format of a test statistic Use the correct distribution to obtain a pValue and be able to find the pValue on output Make a correct conclusion based on the pValue o pValue small gt Supports Ha Con dence Intervals Be able to determine if the assumptions are met or not Be able to compute the formula and be able to find on Minitab output Be able to interpret the confidence interval 0 CI include zero or Ho Other topics Type I Type 11 error Level of Signi cance Relative Risk Experimental and Statistical Controls Simpson s paradox