A simple random sample of front-seat occupants involved in car crashes is obtain

Question

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2971 occupants not wearing seat belts, 38 were killed. Among 7768 occupants wearing seat belts, 17 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. 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 hypothesis test? Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.)

Explanation / Answer

As we can see, this is a right tailed test.

As z = 6.89, the table cannot handle this because the left tailed area is so close to 1. Hence, the right tailed area is so close to

Pvalue = 1 - P(z<6.89) = 1 - 1 = 0.000 [ANSWER]

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