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 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? Explain.

Respuesta :

In this experiment the requirements for a hypothesis test are satisfied.

An experiment needs to be carried out under certain conditions to be valid and to meet the criteria to lead to a hypothesis or possible explanation about a phenomenon.

The most common requirements for an experiment include:

  • Random, independent samples: This means the participants of each group are selected randomly and the results of one group do not affect the other.
  • Realistic data showing at least 5 failures and successes: This means not all the kids in the treatment group were protected from polio and not all the kids in the placebo group developed polio.

Based on this, we can conclude this experiment meets the requirements of a hypothesis test because it includes random, independent samples and realistic data.

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