Question

In the largest clinical trial ever​ conducted, 401,974 children were randomly assigned to two groups. the treatment group consisted of​ 201,229 children given the salk vaccine for​ polio, and the other​ 200,745 children were given a placebo. among those in the treatment​ group, 33 developed​ polio, and among those in the placebo​ group, 115 developed polio. if we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the salk​ vaccine, are the requirements for a hypothesis test​ satisfied? explain.

Answer 1

The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5.