In a large clinical​ trial, children were randomly assigned to two groups. The treatment group consisted of children given a vaccine for a certain​ disease, and of those children developed the disease. The other children were given a​ placebo, and of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below. a. Assume that a significance level will be used to test the claim that . Which is​ better: A hypothesis test or a confidence​ interval? A hypothesis test is better. b. In​ general, when dealing with inferences for two population​ proportions, which two of the following are​ equivalent: confidence interval​ method; P-value​ method; critical value​ method? ▼ are​ equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on ▼ estimated values of the population proportions, the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on ▼ the assumption that the two population proportions are equal. estimated values of the population proportions.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a large clinical​ trial, children were randomly assigned to two groups. The treatment group consisted of children given a vaccine for a certain​ disease, and of those children developed the disease. The other children were given a​ placebo, and of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below. a. Assume that a significance level will be used to test the claim that . Which is​ better: A hypothesis test or a confidence​ interval? A hypothesis test is better. b. In​ general, when dealing with inferences for two population​ proportions, which two of the following are​ equivalent: confidence interval​ method; P-value​ method; critical value​ method? ▼ are​ equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on ▼ estimated values of the population proportions, the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on ▼ the assumption that the two population proportions are equal. estimated values of the population proportions.
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