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by: Kelsey Marr

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# Week 9 Notes STAT 200

Kelsey Marr
Penn State
GPA 3.59
Elementary Statistics
Andrew Wiesner

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COURSE
Elementary Statistics
PROF.
Andrew Wiesner
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Statistics

This 2 page Class Notes was uploaded by Kelsey Marr on Wednesday March 18, 2015. The Class Notes belongs to STAT 200 at Pennsylvania State University taught by Andrew Wiesner in Winter2015. Since its upload, it has received 62 views. For similar materials see Elementary Statistics in Statistics at Pennsylvania State University.

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Date Created: 03/18/15
Stat 200 Andrew Wiesner Week 9 Hypothesis Testing or Signi cance Testing 1 4 5 Steps to testing Set up 2 competing hypothesis One is the null hypothesis symbol Ho Second is the research or alternative hypothesis symbol Ha Set some level of signi cance called alpha a For our class we will set this alpha at 5 or 05 means that in order for us to reject null hypothesis the probability of getting evidence against null assuming null was true is less than 5 or 05 ie very unlikely Gather Data and calculate a test statistic a Test for 1 proportion conditions of np310 n1p210 then the test statistic is z phatposquare root of po1 poln b Po is value used in hypothesis c Test for 1 mean conditions of either data comes from a normal distribution or n330 Then test statistic is T xbar MoSDsquare root of n d Mo value is used in hypothesis What are possible hypotheses Proportion Hoppo i Hapgtpo ii Hapltpo iii Hap not equal to po iv Only choose one alternative based on research queonn g Mean Hommo i Hamgtmo ii Hamltmo iii Ham not equal to mo Calculate probability value call it pvalue associated with the test statistic and using the alternative to guide us Pvalue probability our sample would produce the result assuming Ho is the calculating pvalue if Ha is onesided that is we are using gt or lt then pvalue for a Proportion is found by P z gt z stat b Mean is found by Pt gt t stat c If the alternative is two sided ie not equal then pvalue is found by using same steps above then multiplying by 2 ie doubling the result Tth Compare pvalue to alpha and make decision to either reject Ho or fail to reject Ho and write overall conclusion Decision Rule is EX 1 If pvalue is less than alpha ie alpha 05 we reject null hypothesis lf pvalue is not less than alpha we fail to reject rull Statistically signi cant results are when we reject null hypothesis Hop06 Hapgt06 N4O 28 promoted were male Phat28407 Np40624 N1p40416 After using formula we nd pvalue to be 00885 Is this less than 05 No so we fail to reject null Ho Conclusion we do not have enough statistical evidence to refute company s fairness on promoting employees

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