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In: Statistics and Probability

6. Seat Belts A simple random sample of front-seat occupants involved in car crashes is obtained....

6. Seat Belts A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. The claim is that the fatality rate is higher for those not wearing seat belts. Are Seat Belts Effective? Use alpha=0.01 Hint: We are testing for difference between two proportions. Let P1 indicate the proportion of occupants not wearing seat belts, P2 indicate the proportion of occupants wearing seat belts. Here, we would like to see if seat belt is effective. Therefore, the null hypothesis states H0: P1=P2, where the alternative hypothesis states H1: P1>P2, indicating a right tailed test.

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