12th Edition

ISBN: 9780321837936

Author: Mario F. Triola

Publisher: PEARSON

Concept explainers

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Videos

Textbook Question

Chapter 9.2, Problem 9BSC

Testing Claims About Proportions. In Exercises 7-22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

13. Are Seat Belts Effective? A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed (based on data from “Who Wants Airbags?” by Meyer and Finney, Chance, Vol. 18, No. 2). We want to use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities.

a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. What does the result suggest about the effectiveness of seat belts?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.2, Problem 8BSC

Chapter 9.2, Problem 10BSC

Chapter 9 Solutions

Elementary Statistics

Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.2 - Using Confidence Intervals a. Assume that we want...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 8BSC Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...

Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 12BSC Ch. 9.2 - Tennis Challenges Since the Hawk-Eye instant...Ch. 9.2 - Police Gunfire In a study of police gunfire...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Marathon Finishers In a recent New York City...Ch. 9.2 - Overlap of Confidence Intervals In the article On...Ch. 9.2 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Determining Sample Size The sample size needed to...Ch. 9.3 - Independent and Dependent Samples Which of the...Ch. 9.3 - Interpreting Confidence Intervals If the heights...Ch. 9.3 - Interpreting Confidence Intervals What does the...Ch. 9.3 - Hypothesis Tests and Confidence Intervals a. In...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 6BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 8BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 10BSC Ch. 9.3 - Prob. 11BSC Ch. 9.3 - Prob. 12BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 21BSC Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Prob. 25BB Ch. 9.3 - Pooling. In Exercises 25 and 26, assume that the...Ch. 9.3 - Prob. 27BB Ch. 9.3 - Prob. 28BB Ch. 9.3 - Prob. 29BB Ch. 9.4 - True Statements? For the methods of this section,...Ch. 9.4 - Prob. 2BSC Ch. 9.4 - Prob. 3BSC Ch. 9.4 - Confidence Intervals If we use the sample data in...Ch. 9.4 - Prob. 5BSC Ch. 9.4 - Prob. 6BSC Ch. 9.4 - Calculations with Paired Sample Data. In Exercises...Ch. 9.4 - Prob. 8BSC Ch. 9.4 - Prob. 9BSC Ch. 9.4 - Prob. 10BSC Ch. 9.4 - Prob. 11BSC Ch. 9.4 - Prob. 12BSC Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 516, use the listed paired sample...Ch. 9.4 - Prob. 16BSC Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - Prob. 21BSC Ch. 9.4 - Prob. 22BSC Ch. 9.4 - Prob. 23BSC Ch. 9.4 - Prob. 24BSC Ch. 9.4 - Prob. 25BB Ch. 9.5 - F Test Statistic a. If s12 represents the larger...Ch. 9.5 - F Test If using Data Set 1 in Appendix B for a...Ch. 9.5 - Prob. 3BSC Ch. 9.5 - Prob. 4BSC Ch. 9.5 - Prob. 5BSC Ch. 9.5 - Prob. 6BSC Ch. 9.5 - Hypothesis Tests of Claims About Variation. In...Ch. 9.5 - Prob. 8BSC Ch. 9.5 - Prob. 9BSC Ch. 9.5 - Prob. 10BSC Ch. 9.5 - Prob. 11BSC Ch. 9.5 - Prob. 12BSC Ch. 9.5 - Prob. 13BSC Ch. 9.5 - Prob. 14BSC Ch. 9.5 - Hypothesis Tests of Claims About Variation. In...Ch. 9.5 - Prob. 16BSC Ch. 9.5 - Prob. 17BSC Ch. 9.5 - Prob. 18BSC Ch. 9.5 - Prob. 19BB Ch. 9.5 - Prob. 20BB Ch. 9.5 - Prob. 21BB Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following survey...Ch. 9 - Listed below are the costs (in dollars) of...Ch. 9 - Prob. 6CQQ Ch. 9 - Prob. 7CQQ Ch. 9 - Prob. 8CQQ Ch. 9 - Prob. 9CQQ Ch. 9 - Prob. 10CQQ Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Airbags Save Lives In a study of the effectiveness...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Self-Reported and Measured Female Heights As part...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Prob. 7RE Ch. 9 - Effect of Blinding Among 13,200 submitted...Ch. 9 - Comparing Means The baseline characteristics of...Ch. 9 - Comparing Variation Use the sample data from...Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 2CRE Ch. 9 - Prob. 3CRE Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 5CRE Ch. 9 - Dark Survey In a survey of 1032 Americans,...Ch. 9 - Backup Generator The USA Today web site posted...Ch. 9 - Juke Survey Late-night talk show host David...Ch. 9 - Normal Distribution Based on the measurements in...Ch. 9 - Prob. 10CRE Ch. 9 - Prob. 1FDD Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Prob. 4FDD Ch. 9 - Prob. 5FDD Ch. 9 - Prob. 6FDD

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.