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In a large clinical trial, 400,042 children were randomly assigned 198,354 children were given a placebo, and 155 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. two groups. The treatment group consisted of 201,688 children given a vaccine for a certain disease, and 40 of those children developed the dis a. Assume that a 0.10 significance level will be used to test the claim that p,

In a large clinical trial, 400,042 children were randomly assigned 198,354 children were given a placebo, and 155 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. two groups. The treatment group consisted of 201,688 children given a vaccine for a certain disease, and 40 of those children developed the dis a. Assume that a 0.10 significance level will be used to test the claim that p,

MATLAB: An Introduction with Applications
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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In a large clinical trial, 400,042 children were randomly assigned to two groups. The treatment group consisted of 201,688 children given a vaccine for a certain disease, and 40 of those children developed the disease. The other 198,354 children were given a placebo, and 155 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 0.10 significance level will be used to test the claim that p, <p,. 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 0.10 significance level is to be used to test the claim that p, <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: - 0.000673 <p, - p, < - 0.000493. What does this confidence interval suggest about the claim? Because the confidence interval there a significant difference between the two proportions. Because the confidence interval consists it appears that the first proportion is the second proportion. There 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.
Transcribed Image Text:In a large clinical trial, 400,042 children were randomly assigned to two groups. The treatment group consisted of 201,688 children given a vaccine for a certain disease, and 40 of those children developed the disease. The other 198,354 children were given a placebo, and 155 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 0.10 significance level will be used to test the claim that p, <p,. 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 0.10 significance level is to be used to test the claim that p, <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: - 0.000673 <p, - p, < - 0.000493. What does this confidence interval suggest about the claim? Because the confidence interval there a significant difference between the two proportions. Because the confidence interval consists it appears that the first proportion is the second proportion. There 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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