A Simple Random Sample Of Front Seat Occupants Involved In Car Crashes Is Obtained Among 2746 Occupants Not Wearing Sea 1 (105.81 KiB) Viewed 97 times
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2746 occupants not wearing seat belts, 27 were killed. Among 7831 occupants wearing seat belts, 13 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? ⒸA. Ho: P₁ = P2 H₁: P₁ P₂ D. Ho: 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? OB. Ho: P₁ = P2 H₁: P₁ P₂ O E. Ho: P₁ P2 H₁: P₁ P2 The P-value is greater than the significance level of α = 0.05, so those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval ise in ne OC. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ P2 H₁: P₁ = P₂ reject the null hypothesis. There is sufficient evidence to support the claim that the fatality rate is higher for
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 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? reject the null hypothesis. There Because the confidence interval limits values, it appears that the fatality rate is c. What do the results suggest about the effectiveness of seat belts? include 0, it appears that the two fatality rates are equal. lower for those not wearing seat belts. is sufficient evidence to support the claim that the fatality rate is higher for Because the confidence interval limits include 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. only negative
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