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If the claim in part​ (c) is tested using this sample​ data, we get this confidence​ interval: -0.000483 < p1 -p 2< - 0.000324 What does this confidence interval suggest about the​ claim?

If the claim in part​ (c) is tested using this sample​ data, we get this confidence​ interval: -0.000483 < p1 -p 2< - 0.000324 What does this confidence interval suggest about the​ claim?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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If the claim in part​ (c) is tested using this sample​ data, we get this confidence​ interval: -0.000483 < p1 -p 2< - 0.000324

What does this confidence interval suggest about the​ claim?

 

In a large clinical trial, 393,577 children were randomly assigned to two groups. The treatment group consisted of 195,930 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 197,647 children were given a placebo, and 115 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. deviation based on the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on estimated values of the population proportions. c. If a 0.10 significance level is to be used to test the claim that p, <p,, what confidence level should be used? 80'% (Type an integer or a decimal.) d. If the claim in part (c) is tested using this sample data, we get this confidence interval: -0.000483 <p, - p, < - 0.000324. 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 V 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. Cliolk t
Transcribed Image Text:In a large clinical trial, 393,577 children were randomly assigned to two groups. The treatment group consisted of 195,930 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 197,647 children were given a placebo, and 115 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. deviation based on the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on estimated values of the population proportions. c. If a 0.10 significance level is to be used to test the claim that p, <p,, what confidence level should be used? 80'% (Type an integer or a decimal.) d. If the claim in part (c) is tested using this sample data, we get this confidence interval: -0.000483 <p, - p, < - 0.000324. 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 V 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. Cliolk t
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