In a large clinical trial, 395,241 children were randomly assigned to two groups. The treatment group consisted of 197,457 children given a vaccine for a certain disease, and 38 of those children developed the disease. The other 197,784 children were given a placebo, and 143 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 0.05 significance level will be used to test the claim that p₁
In a large clinical trial, 395,241 children were randomly assigned to two groups. The treatment group consisted of 197,457 children given a vaccine for a certain disease, and 38 of those children developed the disease. The other 197,784 children were given a placebo, and 143 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 0.05 significance level will be used to test the claim that p₁
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a large clinical trial, 395,241 children were randomly assigned to two groups. The treatment group consisted of 197,457 children given a vaccine for a certain disease, and 38 of those children
developed the disease. The other 197,784 children were given a placebo, and 143 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 0.05 significance level will be used to test the claim that p₁ <p₂. Which is better: A hypothesis test or a confidence interval?
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
whereas the other method uses a standard deviation based on
c. If a 0.05 significance level is to be used to test the claim that p₁ <p2, what confidence level should be used?
%
(Type an integer or a decimal.)
d. If the claim in part (c) is tested using this sample data, we get this confidence interval: -0.000642<p₁ - P₂ -0.000419. What does this confidence interval suggest about the claim?
Because the confidence interval
interval consists
there
a significant difference between the two proportions. Because the confidence
the second proportion. There is
it appears that the first proportion is
evidence to support the claim that the rate of polio is less for children given the vaccine than it is for children given a placebo.
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