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D Question 11 5 pts A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2794 occupants not wearing seat belts, 31 were killed. Among 7789 occupants wearing seat belts, 14 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Round your answer to 4 decimal places, if necessary. a) Test the claim using the hypothesis test. Please use the following format to answer the question in order to receive the full credit. 1. Hypotheses: 2. Test statistics: 3. p-value: 4. Decision: 5. Conclusion: b) Construct the confidence interval that could be used for the hypothesis test describes in part (a) . HTML Editor :=] BIYA ATE X Xz E V O T T 12pt ParagraphQuestion 12 5 pts A study was done on proctored and nonproctored tests. The results are shown in the table below. Assume that two samples are independent and simple random samples selected from normally distributed populations. Test the claim that students taking non proctored tests get a higher mean score than those taking proctored tests. Proctored [population 1) Non-proctored [population 2) m = 35 n: = 33 Y: = 78.44 i: = 82.68 51 = 10.24 52 = 19.21 a} Test the claim using the hypothesis test. Please use the following format to answer the question in order to receive the full credit. 1. Hypotheses: 2. Test statistics: 3. p-value: 4. Decision: 5. Conclusion: b} Construct the condence interval that could be used for the hypothesis test describes in part (a) . HTML Editor