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In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 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, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 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,

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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In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 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, <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 p, < p2, what confidence level should be used? % (Tvpe an inteaer or a decimal.)
Transcribed Image Text:In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 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, <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 p, < p2, what confidence level should be used? % (Tvpe an inteaer or a decimal.)
In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. ... 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 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: - 0.000425 < p, - p2 < -0.000177. 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, 397,922 children were randomly assigned to two groups. The treatment group consisted of 198,803 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 199,119 children were given a placebo, and 86 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. ... 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 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: - 0.000425 < p, - p2 < -0.000177. 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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