In: Statistics and Probability
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2975 occupants not wearing seat belts, 33 were killed. Among 7896 occupants wearing seat belts, 12 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.
a. What are the null and alternative hypothesis for the hypothesis test?
b. what is the test statistic (two decimal)
c. what is the p-value (three decimal)
d. what is the conclusion based on the hypothesis test?
e. What is the confidence interval? x < (p1-p2) < x (three decimal)
f. what is the conclusion based on the confidence interval?