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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2852 occupants not wearing seat belts, 28 were killed. Among 7608 occupants wearing seat belts, 16 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? OA. Ho: P₁ P2 H₁: P₁ P2 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. B. Ho: P₁ = P2 H₁: P₁ P₂ E. Ho: P₁ P2 H₁: P₁ P₂ Z= (Round to two decimal places as needed.) C. Ho: P₁ P2 H₁: P₁ = P₂ OF. Ho: P₁ P₂ H₁: P₁ P2

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2852 occupants not wearing seat belts, 28 were killed. Among 7608 occupants wearing seat belts, 16 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? OA. Ho: P₁ P2 H₁: P₁ P2 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. B. Ho: P₁ = P2 H₁: P₁ P₂ E. Ho: P₁ P2 H₁: P₁ P₂ Z= (Round to two decimal places as needed.) C. Ho: P₁ P2 H₁: P₁ = P₂ OF. Ho: P₁ P₂ H₁: P₁ P2

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
Problem 1P
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9.4

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 a = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is < (P₁-P₂) <0. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? the null hypothesis. There Because the confidence interval limits not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? 0, it appears that the two fatality rates are sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. Because the confidence interval limits include OA. The results suggest that the use of seat belts is associated with higher 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. OC. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. O D. The results are inconclusive. values, it appears that the fatality rate is for those
Transcribed Image Text: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 a = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is < (P₁-P₂) <0. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? the null hypothesis. There Because the confidence interval limits not wearing seat belts. c. What do the results suggest about the effectiveness of seat belts? 0, it appears that the two fatality rates are sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. Because the confidence interval limits include OA. The results suggest that the use of seat belts is associated with higher 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. OC. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. O D. The results are inconclusive. values, it appears that the fatality rate is for those
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2852 occupants not wearing seat belts, 28 were killed. Among 7608 occupants wearing seat belts, 16 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 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. B. Ho: P₁ = P2 H1₁: P₁ P2 O E. Ho: P₁ H₁: P₁ Z= (Round to two decimal places as needed.) P₂ P₂ C. Ho: P₁ P2 H₁: P₁ = P₂ F. Ho: P₁ ≤P2 H₁: P₁ P2
Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2852 occupants not wearing seat belts, 28 were killed. Among 7608 occupants wearing seat belts, 16 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 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. B. Ho: P₁ = P2 H1₁: P₁ P2 O E. Ho: P₁ H₁: P₁ Z= (Round to two decimal places as needed.) P₂ P₂ C. Ho: P₁ P2 H₁: P₁ = P₂ F. Ho: P₁ ≤P2 H₁: P₁ P2
Expert Solution
Step 1: Given information

Let p1 be the proportion of occupants not wearing seat belts.

Let p2 be the proportion of occupants not wearing seat belts.

Want to test whether seat belts are effective in reducing fatalities?

x subscript 1 space equals 28 n subscript 1 equals 2850 x subscript 2 equals 16 n subscript 2 equals 7608 alpha space equals 0.05 space

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