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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2854 occupants not wearing seat belts, 38 were killed. Among 7818 occupants wearing seat belts, 18 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? OA. Họ: P P H: P P2 OB. H P "P2 H: P, P: OE. He P 2P OC. H P SP2 OF. H P, P2 H P, P2 Identify the test statistic (Round to two decimal places as needed.) Identify the P-value. P-value =O (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The Pvalue is V the significance level of a0.01, so the null hypothesis. There 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 isO< (P -P:)

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2854 occupants not wearing seat belts, 38 were killed. Among 7818 occupants wearing seat belts, 18 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? OA. Họ: P P H: P P2 OB. H P "P2 H: P, P: OE. He P 2P OC. H P SP2 OF. H P, P2 H P, P2 Identify the test statistic (Round to two decimal places as needed.) Identify the P-value. P-value =O (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The Pvalue is V the significance level of a0.01, so the null hypothesis. There 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 isO< (P -P:)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2854 occupants not wearing seat belts, 38 were killed. Among 7818 occupants wearing seat belts, 18 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? O A. Hg: P1 = P2 H1: P1 < P2 O B. Hg: P1 = P2 H: P1 #P2 OC. Ho: P1 SP2 H,: P1 #P2 O D. Ho: P1 = P2 H;: P1 > P2 O E. Hg: P1 2 P2 H;: P1 # P2 OF. Ho: P1 #P2 H1: P1 = P2 Identify the test statistic (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 v the significance level of a = 0.01, so V the null hypothesis. There 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 three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits 0, it appears that the two fatality rates are V Because the confidence interval limits include values, it appears that the fatality rate is 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 lower fatality rates than not using seat belts. O B. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. O C. The results suggest that the use of seat belts is associated with the same fatality rates as 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 2854 occupants not wearing seat belts, 38 were killed. Among 7818 occupants wearing seat belts, 18 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? O A. Hg: P1 = P2 H1: P1 < P2 O B. Hg: P1 = P2 H: P1 #P2 OC. Ho: P1 SP2 H,: P1 #P2 O D. Ho: P1 = P2 H;: P1 > P2 O E. Hg: P1 2 P2 H;: P1 # P2 OF. Ho: P1 #P2 H1: P1 = P2 Identify the test statistic (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 v the significance level of a = 0.01, so V the null hypothesis. There 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 three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits 0, it appears that the two fatality rates are V Because the confidence interval limits include values, it appears that the fatality rate is 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 lower fatality rates than not using seat belts. O B. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. O C. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. O D. The results are inconclusive.
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