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This Question: 2 pts This Quiz: 30 pts possible In the largest clinical trial ev

ID: 3310132 • Letter: T

Question

This Question: 2 pts This Quiz: 30 pts possible In the largest clinical trial ever 401,974 children were 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 A. The requrements are not satisfied, the samples are not simple random samples that are independent. OB. The requirements are satisifed, the samples are simple random samples that are independent, and for each of the two groups, the sample size is at least C. The requrer ents are not satisfied; the difference between the rates of those that developed polio in the two roups is not statistically significant. 1000 The requrements are satisfied: the samples are simple random samples that are independent, an least 5 and the number of failures is at least 5. D. for each of the two groups, the number o successes is at

Explanation / Answer

Solution

The solution is option (d) the requirements are statisfied, the samples are simple random samples that are independant, and for each of the two groups the number os successes is atleast 5 and number of failures is atleast 5.

When testing a claim about the value of a population proportion, the requirements for approximating a binomial distribution with a normal distribution are needed. That is, for a sample of size n with a claimed population proportion of p0, then we require : np05 and n(1p0)5

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