A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2856 occupants not wearing seat belts, 31 were killed. Among 7848 occupants wearing seat belts, 10 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? A. H0: p1 = p2, H1: p1 > p2 B. H0: p1 >= p2, H1: p1 != p2 C. H0: p1 != p2, H1: p1 = p2 D. H0: p1 = p2, H1: p1 != p2 E. H0: p1 <= p2, H1: p1 != p2 F. H0: p1 = p2, H1: p1 < p2 Identify the test statistic. z = (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 [drop-down menu] the significance level of alpha = 0.01, so [drop-down menu] the null hypothesis. There [drop-down menu] 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 [drop-down menu] 0, it appears that the two fatality rates are [drop-down menu]. Because the confidence interval limits include [drop-down menu] values, it appears that the fatality rate is [drop-down menu] 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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0108\) \(p_2 = \frac{x_2}{n_2} = \frac{10}{7848} \approx 0.00127\) Show more…
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Hi, Can you please CLEARY identify the answers to each of the following question. Thank you so much for your help!
Lucas F.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2764 occupants not wearing seat belts, 31 were killed. Among 7614 occupants wearing seat belts, 15 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. H0: p1 = p2 H1: p1 < p2 B. H0: p1 = p2 H1: p1 > p2 C. H0: p1 = p2 H1: p1 ≠ p2 D. H0: p1 ≤ p2 H1: p1 ≠ p2 E. H0: p1 ≥ p2 H1: p1 ≠ p2 F. H0: p1 ≠ p2 H1: p1 = p2 Identify the test statistic. z = (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 the significance level of ̑ = 0.01, 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 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 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? A. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. B. The results suggest that the use of seat belts is associated with lower fatality rates than 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.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2738 occupants not wearing seat belts, 38 were killed. Among 7877 occupants wearing seat belts, 15 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 α=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) 0, 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.
Sri K.
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