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. a. If we want to use the methods of this section 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? b. Identify the values of ?1, ?1(hat), ?1(hat), ?2, ?̂2 , ?2(hat), ?̅,?(bar). Round all values so that they have six significant digits. c. Identify the null and alternative hypotheses. d. If the P-value for the test is reported as “less than 0.0001,” what should we conclude about the original claim?
1) 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.
a. If we want to use the methods of this section 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?
b. Identify the values of ?1, ?1(hat), ?1(hat), ?2, ?̂2
, ?2(hat), ?̅,?(bar). Round all values so that they have
six significant digits.
c. Identify the null and alternative hypotheses.
d. If the P-value for the test is reported as “less than 0.0001,” what should we conclude
about the original claim?
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