A simple random sample offront-seat occupants involved in car crashes is obtained. Among 2760 occupants not wearing seatbelts, 33 were killed. Among 7675 occupants wearing seatbelts, 16 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. What are the null and alternative hypotheses for the hypothesistest?

Identify the test statistic.

Identify theP-value.

What is the conclusion based on the hypothesistest?

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

The 99% confidence interval is ______<(p1p2)<_______.

c. What do the results suggest about the effectiveness of seatbelts?

A.The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.

This is the correct answer.

B.The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.

C.The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts.

Your answer is not correct.

D.The results are inconclusive.