A study investigates the prevalence of a behavior in two populations. In the first sample of 1818 people, 77 exhibit the behavior. In the second sample of 950950 people, 630630 exhibit the behavior. Using a 0.050.05 significance level, test if the two population proportions are equal (p1=p2)\left($$p_1$$=$$p_2$$\right), and construct a 95%95\% confidence interval for the difference in proportions. What do the results show?

The hypothesis test does not reject H0 (the proportions are equal)$$H_0$$\text{ (the proportions are equal)}, but the confidence interval excludes 00.

The hypothesis test rejects H0 (the proportions are equal)$$H_0$$\text{ (the proportions are equal)}, but the confidence interval includes 00.

Table of contents

Skip topic navigation

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

1. Introduction to Statistics(0)

Intro to Stats
(0)

Intro to Collecting Data
(0)

Sampling Methods
(0)

2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
(0)

Frequency Distributions
(0)

Histograms
(0)

Bar Graphs and Pareto Charts
(0)

Pie Charts
(0)

Frequency Polygons
(0)

Dot Plots
(0)

Stemplots (Stem-and-Leaf Plots)
(0)

Time-Series Graph
(0)

3. Describing Data Numerically(0)

Mean
(0)

Median
(0)

Mode
(0)

Standard Deviation
(0)

Interpreting Standard Deviation
(0)

Percentiles & Quartiles
(0)

Boxplots
(0)

4. Probability(0)

Basic Concepts of Probability
(0)

Complements
(0)

Addition Rule
(0)

Multiplication Rule: Independent Events
(0)

Introduction to Contingency Tables
(0)

Multiplication Rule: Dependent Events
(0)

Bayes' Theorem
(0)

Fundamental Counting Principle
(0)

Counting
(0)

5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
(0)

Binomial Distribution
(0)

Poisson Distribution
(0)

Hypergeometric Distribution
(0)

6. Normal Distribution & Continuous Random Variables(0)

Uniform Distribution
(0)

Standard Normal Distribution
(0)

Non-Standard Normal Distribution
(0)

7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
(0)

Introduction to Confidence Intervals
(0)

Confidence Intervals for Population Mean
(0)

Determining the Minimum Sample Size Required
(0)

8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
(0)

Confidence Intervals for Population Proportion
(0)

Chi Square Distribution
(0)

Confidence Intervals for Population Variance
(0)

9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
(0)

Performing Hypothesis Tests: Means
(0)

Performing Hypothesis Tests: Proportions
(0)

Performing Hypothesis Tests: Variance
(0)

Critical Values and Rejection Regions
(0)

Link Between Confidence Intervals and Hypothesis Testing
(0)

Type I & Type II Errors
(0)

10. Hypothesis Testing for Two Samples(0)

Two Proportions
(0)

Two Means - Unknown, Unequal Variance
(0)

Two Means - Unknown, Equal Variance
(0)

Two Means - Known Variance
(0)

Two Means - Matched Pairs (Dependent Samples)
(0)

Two Variances and F Distribution
(0)

11. Correlation(0)

Scatterplots & Intro to Correlation
(0)

Correlation Coefficient
(0)

12. Regression(0)

Linear Regression & Least Squares Method
(0)

Residuals
(0)

Coefficient of Determination
(0)

Inferences for Slope
(0)

Prediction Intervals
(0)

Quadratic Regression
(0)

13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
(0)

Contingency Tables
(0)

Independence Tests
(0)

Homogeneity Tests
(0)

14. ANOVA(0)

Introduction to ANOVA
(0)

Multiple Comparisons: Tukey Test
(0)

Multiple Comparisons: Tukey-Kramer Test
(0)

Multiple Comparisons: Bonferoni Test
(0)

Two-Way ANOVA
(0)

10. Hypothesis Testing for Two Samples

Two Proportions

10. Hypothesis Testing for Two Samples

Two Proportions: Videos & Practice Problems

Video Lessons Practice Worksheet

Back to all problems

44 of 0

PreviousNext

Problem 44Multiple Choice

A study investigates the prevalence of a behavior in two populations. In the first sample of $18$ people, $7$ exhibit the behavior. In the second sample of $950$ people, $630$ exhibit the behavior. Using a $0.05$ significance level, test if the two population proportions are equal $open paren p sub 1 equals p sub 2 close paren$ , and construct a $95 percent sign$ confidence interval for the difference in proportions. What do the results show?

The hypothesis test does not reject $H sub 0 open paren the proportions are equal close paren$ , but the confidence interval excludes $0$ .

Both the hypothesis test and confidence interval indicate a significant difference.

The hypothesis test rejects $H sub 0 open paren the proportions are equal close paren$ , but the confidence interval includes $0$ .

Both the hypothesis test and confidence interval indicate no significant difference.

0 Comments

Download the Mobile app

Accessibility

Privacy

Do not sell my personal information