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Among 7760 occupants wearing seat belts, 11 were killed. Us cing fatalities. Complete parts (a) through (c) below. st the claim using a hypothesis test. sider the first sample to be the sample of occUpants not wearin

Among 7760 occupants wearing seat belts, 11 were killed. Us cing fatalities. Complete parts (a) through (c) below. st the claim using a hypothesis test. sider the first sample to be the sample of occUpants not wearin

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2811 occupants not wearing seat belts, 29 were killed. Among 7760 occupants wearing seat belts, 11 were killed. Use a 0.05 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? O A. Ho P1 P2 H1: P1 P2 O B. Ho P1 P2 H1: P1 P2 O c. Ho P1 F P2 H: P1 P2 OD Ho P1 FP2, H, P <P2 OF Ho P, #P2 H-P1 -P2 O E. Ho P F P2 H P, # P2 Identify the test statistio. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so reject the null hypothesis. There is 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. The appropriate confidence interval is (P1-P2) (Round to thnee decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits | do not include 0, it appears that the two fatality rates are not equal. Because the confidence interval limits include only positive values, it appears that the fatality rate is higher for those not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? O A. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. OB. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. O C. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. O D. The results are inconclusive.
Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2811 occupants not wearing seat belts, 29 were killed. Among 7760 occupants wearing seat belts, 11 were killed. Use a 0.05 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? O A. Ho P1 P2 H1: P1 P2 O B. Ho P1 P2 H1: P1 P2 O c. Ho P1 F P2 H: P1 P2 OD Ho P1 FP2, H, P <P2 OF Ho P, #P2 H-P1 -P2 O E. Ho P F P2 H P, # P2 Identify the test statistio. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so reject the null hypothesis. There is 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. The appropriate confidence interval is (P1-P2) (Round to thnee decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits | do not include 0, it appears that the two fatality rates are not equal. Because the confidence interval limits include only positive values, it appears that the fatality rate is higher for those not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? O A. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. OB. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. O C. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. O D. The results are inconclusive.
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