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In a large clinical trial, 395,063 children were randomly assigned to two groups. The treatment group consisted of 198,741 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 196,322 children were given a placebo, and 100 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 0.01 significance level will be used to test the claim that p,

In a large clinical trial, 395,063 children were randomly assigned to two groups. The treatment group consisted of 198,741 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 196,322 children were given a placebo, and 100 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 0.01 significance level will be used to test the claim that p,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a large clinical trial, 395,063 children were randomly assigned to two groups. The treatment group consisted of 198,741 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 196,322 children were given a placebo, and 100 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 0.01 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 0.01 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: -0.000498<P₁ P2<-0.000229. 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 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, 395,063 children were randomly assigned to two groups. The treatment group consisted of 198,741 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 196,322 children were given a placebo, and 100 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 0.01 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 0.01 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: -0.000498<P₁ P2<-0.000229. 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 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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