MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

Answer:The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.Step-by-step explanation:The percentage of children in the treatment group was:(201229/401974)*100 = 49.9%The percentage of children given placebo was:(200745/401974)*100 = 50.1%The percentage of children that developed polio in the treatment group:(33/200745)*100 = 0.0164%The percentage of children that developed polio in the placebo group:(115/201229)*100 = 0.0571%The percentage difference between the two group:((0.0571-0.0164)/0.0571) = 61.62%Therefore:The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.