A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000 children in the experimental group, 24 developed the disease. Of the 100,000 children in the control group, 42 developed the disease. Complete parts (a) through (f) below. () Does it appear to be the case that the vaccine was effective? Use the a = 0.05 level of significance. First verify the model requirements. Select all that apply. O A. The data come from a population that is normally distributed. B. The samples are dependent. c. The sample size is more than 5% of the population size for each sample. 'D. The sample size is less than 5% of the population size for each sample. E. n,pi (1-P1) 2 10 and nyP2 (1-P2) 2 10 'F. The samples are independent. Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. Họ: P1 * P2 H: P1 * P2

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