USA Today reported that 40% of people surveyed planned to use accumulated loose change for paying bills. The margin of error was given as 3.1 percentage points. Identify the confidence interval that corresponds to that information.
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1
Introduction to Statistics
1-2
Statistical and Critical Thinking
1-3
Types of Data
1-4
Collecting Sample Data
1.2
Statistical and Critical Thinking
1.3
Types of Data
1.4
Collecting Sample Data
2
Summarizing and Graphing
2-2
Frequency Distributions
2-3
Histograms
2-4
Graphs That Enlighten and Graphs That Deceive
2.2
Frequency Distributions
2.3
Histograms
2.4
Graphs That Enlighten and Graphs That Deceive
3
Statistics for Describing, Exploring, and Comparing Data
3-2
Measures of Center
3-3
Measures of Variation
3-4
Measures of Relative Standing and Boxplots
3.2
Measures of Center
3.3
Measures of Variation
3.4
Measures of Relative Standing and Boxplots
4
Probability
4-2
Basic Concepts of Probability
4-3
Addition Rule
4-4
Multiplication Rule: Basics
4-5
Multiplication Rule: Complements and Conditional Probability
4-6
Counting
4.2
Basic Concepts of Probability
4.3
Addition Rule
4.4
Multiplication Rule: Basics
4.5
Multiplication Rule: Complements and Conditional Probability
4.6
Counting
4.7
Probabilities Through Simulations (on CD-ROM)
4.8
Bayes' Theorem (on CD-ROM)
5
Discrete Probability Distributions
5-2
Probability Distributions
5-3
Binomial Probability Distributions
5-4
Parameters for Binomial Distributions
5-5
Poisson Probability Distributions
5.2
Probability Distributions
5.3
Binomial Probability Distributions
5.4
Parameters for Binomial Distributions
5.5
Poisson Probability Distributions
6
Normal Probability Distributions
6-2
The Standard Normal Distribution
6-3
Applications of Normal Distributions
6-4
Sampling Distributions and Estimators
6-5
The Central Limit Theorem
6-6
Assessing Normality
6-7
Normal as Approximation to Binomial
6.2
The Standard Normal Distribution
6.3
Applications of Normal Distributions
6.4
Sampling Distributions and Estimators
6.5
The Central Limit Theorem
6.6
Assessing Normality
6.7
Normal as Approximation to Binomial
7
Estimates and Sample Sizes
7-2
Estimating a Population Proportion
7-3
Estimating a Population Mean
7-4
Estimating a Population Standard Deviation or Variance
7.2
Estimating a Population Proportion
7.3
Estimating a Population Mean
7.4
Estimating a Population Standard Deviation or Variance
8
Hypothesis Testing
8-2
Basics of Hypothesis Testing
8-3
Testing a Claim About a Proportion
8-4
Testing a Claim About a Mean
8-5
Testing a Claim About a Standard Deviation or Variance
8.2
Basics of Hypothesis Testing
8.3
Testing a Claim About a Proportion
8.4
Testing a Claim About a Mean
8.5
Testing a Claim About a Standard Deviation or Variance
9
Inferences from Two Samples
9-2
Two Proportions
9-3
Two Means: Independent Samples
9-4
Two Dependent Samples (Matched Pairs)
9-5
Two Variances or Standard Deviations
9.2
Two Proportions
9.3
Two Means: Independent Samples
9.4
Two Dependent Samples (Matched Pairs)
9.5
Two Variances or Standard Deviations
10
Correlation and Regression
10-2
Correlation
10-3
Regression
10-4
Prediction Intervals and Variation
10-5
Multiple Regression
10-6
Nonlinear Regression
10.2
Correlation
10.3
Regression
10.4
Prediction Intervals and Variation
10.5
Multiple Regression
10.6
Nonlinear Regression
11
Goodness-of-Fit and Contingency Tables
11-2
Goodness-of-Fit
11-3
Contingency Tables
11.2
Goodness-of-Fit
11.3
Contingency Tables
12
Analysis of Variance
12-2
One-Way ANOVA
12-3
Two-Way ANOVA
12.2
One-Way ANOVA
12.3
Two-Way ANOVA
13
Nonparametric Tests
13-3
Wilcoxon Signed-Ranks Test for Matched Pairs
13-4
Wilcoxon Rank-Sum Test for Two Independent Samples
13-5
Kruskal-Wallis Test
13-6
Rank Correlation
13-7
Runs Test for Randomness
13.2
Sign Test
13.2
Sign Test
13.3
Wilcoxon Signed-Ranks Test for Matched Pairs
13.4
Wilcoxon Rank-Sum Test for Two Independent Samples
13.5
Kruskal-Wallis Test
13.6
Rank Correlation
13.7
Runs Test for Randomness
14
Statistical Process Control
14-2
Control Charts for Variation and Mean
14-3
Control Charts for Attributes
14.2
Control Charts for Variation and Mean
14.3
Control Charts for Attributes
Textbook Solutions for Elementary Statistics
Chapter 7 Problem 2
Question
Here is a 95% confidence interval estimate of the proportion of female medical school students: 0.499 < p < 0.511 (based on data from the Journal of the American Medical Association). What is the best point estimate of the proportion of females in the population of medical school students?
Solution
The first step in solving 7 problem number 2 trying to solve the problem we have to refer to the textbook question: Here is a 95% confidence interval estimate of the proportion of female medical school students: 0.499 < p < 0.511 (based on data from the Journal of the American Medical Association). What is the best point estimate of the proportion of females in the population of medical school students?
From the textbook chapter Estimates and Sample Sizes you will find a few key concepts needed to solve this.
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full solution
full solution
Title
Elementary Statistics 12
Author
Mario F. Triola
ISBN
9780321836960
Here is a 95% confidence interval estimate of the proportion of female medical school
Chapter 7 textbook questions
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Chapter 7: Problem 1 Elementary Statistics 12
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Chapter 7: Problem 2 Elementary Statistics 12
Here is a 95% confidence interval estimate of the proportion of female medical school students: 0.499 < p < 0.511 (based on data from the Journal of the American Medical Association). What is the best point estimate of the proportion of females in the population of medical school students?
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Chapter 7: Problem 3 Elementary Statistics 12
Write a brief statement that correctly interprets the confidence interval given in Exercise 2.
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Chapter 7: Problem 4 Elementary Statistics 12
. In a survey of 1023 high school students, 102 chose education for their career choice (based on results from a KeyStat Marketing survey). Find the critical value that would be used for constructing a 90% confidence interval estimate of the population proportion
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Chapter 7: Problem 5 Elementary Statistics 12
Find the sample size required to estimate the percentage of college students who own a car. Assume that we want 90% confidence that the proportion from the sample is within three percentage points of the true population percentage.
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Chapter 7: Problem 6 Elementary Statistics 12
Find the sample size required to estimate the mean IQ of students currently taking a statistics course. Assume that we want 99% confidence that the mean from the sample is within two IQ points of the true population mean. Also assume that = 15
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Chapter 7: Problem 7 Elementary Statistics 12
Six human skulls from around 4000 B.C. were measured, and the lengths have a mean of 94.2 mm and a standard deviation of 4.9 mm. If you want to construct a 95% confidence interval estimate of the mean length of all such skulls, what requirements must be satisfied?
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Chapter 7: Problem 8 Elementary Statistics 12
. In general, what does degrees of freedom refer to? For the sample data described in Exercise 7, find the number of degrees of freedom, assuming that you want to construct a confidence interval estimate of .
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Chapter 7: Problem 9 Elementary Statistics 12
Refer to Exercise 7 and assume that the requirements are satisfied. Find the critical value that would be used for constructing a 95% confidence interval estimate of .
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Chapter 7: Problem 10 Elementary Statistics 12
. Refer to Exercise 7 and assume that the requirements are satisfied. Find the critical values that would be used to construct a 95% confidence interval estimate of .
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