1.

In a large clinical trial, 393,641 children were randomly assigned to two groups. The treatment group consisted of 196,952 children given a vaccine for a certain disease, and 27 of those children developed the disease. The other 196,689 children were given a placebo, and 83 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1 , P1 , q1, n2, P2: q2. p, and q.A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2831 occupants not wearing seat belts, 36 were killed. Among 7669 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. 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 hypothesis test? O B. Ho: P1 = P2 O C. Ho: P1 SP2 O A. Ho: P1 = P2 H1: P1 P2 H1: P1 P2 OE. Ho: P1 2 P2 OF. Ho: P1 = P2 O D. Ho: P1 # P2 H1: P1 = P2 H1: P1 # P2 H1: P1 / P2Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so the null hypothesis. There sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval The appropriate confidence interval is