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In: Statistics and Probability

A simple random sample of front-seat occupants involved in a car crushes is obtained. Among 2823...

A simple random sample of front-seat occupants involved in a car crushes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. We want to use 0.05 significance level to tes the claim that seat bests are effective in reducing fatalities.

a)Test the claim using a hypothesis test.

b) Test the claim by constructing an appropriate confidence interval.

c) What does the result suggest about the effectiveness of seat belts?

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