1)

In a large clinical trial 395 473 cthren were randomly assigned to two groups. The treatment group consisted of 199 223 children given a vaccine for a certain disease and 29 of those children developed the disease. The other 156 250 children were given a placehoI and 51 [If these [:hr'dren developed the disease Consrder the vaccine treatment group to be the rst sample IdentiiyI the vatues [It n1I Pl. q1I n2, F2. (h pI and q n17 In a large clinical trial, 393,645 children were randomly assigned to two groups. The treatment group consisted of 197,550 children given a vaccine for a certain disease, and 36 of those children developed the disease. The other 196,095 children were given a placebo, and 138 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.05 significance level will be used to test the claim that p, P2 O B. Ho: P1 P2 OD. Ho: P1 = P2 H1 : P1 = P2 H1: P1 7 P2Test the given claim. Identify the null hypothesis alternative hypothesis. test statistic. P-value, and then state the conclusion about the null hypothesis. as well as the nal conclusion that addresses the original claim. Among 205i! passenger cars in a particular region. 224 had only rear license plates. Among 387 commercial trucks, 54 had only rear license plates. Areasonable hypothesis is that commercial trucks owners violate laws requiring fronl license plates at a higher rate than owners oi passenger cars. Use a 0.01 signicance level to test that hypothesis. a. Tl the claim using a hypothesis lest b. Tem Ihe daim by construding an appropriate condence interval. a. identify the null and alternative hypotheses for this test. Let. population 1 correspond to the passenger cars and population 2 correspond to the commercial tmcks Let a success he a vehicle that only has a rear license plate. OA- \"0 P1:P2 HI P1P2 00- Ho P1