In a large clinical trial, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 195,571 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. ASsume unat a v.UT signmmcance iever wII ve useu lu lest une ciaim unal P, sP2- vvTICI IS veller. A nypounesis est ur a comuence ntervar? A hypothesis test 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 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,

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

In a large clinical​ trial, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given a vaccine for a certain​ disease, and 30 of those children developed the disease. The other 195,571 children were given a​ placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below.

In a large clinical trial, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given
195,571 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below.
a. Assurme triat a 0.01 SIgicance iever wiI De useu to test ie ciam iat p, P2. VVICI IS pelter. A nypotnesis tesi or a comuerice interval?
vaccine for a certain disease, and 30 of those children developed the disease. The other
A hypothesis test
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?
V 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, <p,, 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: -0.000524 <p, - p, < - 0.000248. What does this confidence interval suggest about the claim?
Because the confidence interval
V 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, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given 195,571 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assurme triat a 0.01 SIgicance iever wiI De useu to test ie ciam iat p, P2. VVICI IS pelter. A nypotnesis tesi or a comuerice interval? vaccine for a certain disease, and 30 of those children developed the disease. The other A hypothesis test 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? V 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, <p,, 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: -0.000524 <p, - p, < - 0.000248. What does this confidence interval suggest about the claim? Because the confidence interval V 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON