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In a large clinical trial, 396,553 children were randomly assigned to two groups. The treatment group consisted of 198,535 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 198,018 children were given a placebo, and 118 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,

In a large clinical trial, 396,553 children were randomly assigned to two groups. The treatment group consisted of 198,535 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 198,018 children were given a placebo, and 118 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,

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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In a large clinical trial, 396,553 children were randomly assigned to two groups. The treatment group consisted of 198,535 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 198,018 children were given a placebo, and 118 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: - 0.000500 <p, -p2 < -0.000340. 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 V evidence to support the claim thawhe rate of polio is less for children given the vaccine than it is for children given a placebo. Enter your answer in the answer box. Save for Later 12,947 NOV 28 átv 吕口 000 000 DII F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 (0)
Transcribed Image Text:In a large clinical trial, 396,553 children were randomly assigned to two groups. The treatment group consisted of 198,535 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 198,018 children were given a placebo, and 118 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: - 0.000500 <p, -p2 < -0.000340. 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 V evidence to support the claim thawhe rate of polio is less for children given the vaccine than it is for children given a placebo. Enter your answer in the answer box. Save for Later 12,947 NOV 28 átv 吕口 000 000 DII F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 (0)
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