A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2969 occupants not wearing seat belts, 32 were killed. Among 7784 occupants wearing seat belts, 20 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.
a. What are the null and alternative hypotheses for the hypothesis test?
b. Test the claim by constructing an appropriate confidence interval.
c. What do the results suggest about the effectiveness of seat belts?
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