A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2913 occupants not wearing seat belts, 38 were killed. Among 7846 occupants wearing seat belts, 13 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic: Identify the P Value: What is the conclusion based on the hypothesis test? The P-value is (less than, greater than) the significance level of a=0.05, so (reject, fail to reject) the null hypothesis. There (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. What is the conclusion based on the confidence interval? Because the confidence interval limits (include, do not include) O, it appears that the two fatality rates are (equal, not equal). Because the confidence interval limits include (only negative, positive and negative, only positive) values, it appears that the fatality rate is (the same, higher, lower) for those not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? A. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. B. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. C. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. D. The results are inconclusive.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2913 occupants not wearing seat belts, 38 were killed. Among 7846 occupants wearing seat belts, 13 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic: Identify the P Value: What is the conclusion based on the hypothesis test? The P-value is (less than, greater than) the significance level of a=0.05, so (reject, fail to reject) the null hypothesis. There (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. What is the conclusion based on the confidence interval? Because the confidence interval limits (include, do not include) O, it appears that the two fatality rates are (equal, not equal). Because the confidence interval limits include (only negative, positive and negative, only positive) values, it appears that the fatality rate is (the same, higher, lower) for those not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? A. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. B. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. C. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. D. The results are inconclusive.

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