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A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the​ vaccine, 58 got the virus. Of the 1606 children randomly assigned the​ placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine​ group, as investigators​ hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the​ virus, using a significance level of 0.01. The first few steps of the​ hypothesis-testing procedure are given. Complete the procedure.

A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the​ vaccine, 58 got the virus. Of the 1606 children randomly assigned the​ placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine​ group, as investigators​ hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the​ virus, using a significance level of 0.01. The first few steps of the​ hypothesis-testing procedure are given. Complete the procedure.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the​ vaccine, 58 got the virus. Of the
1606 children randomly assigned the​ placebo, 46 got the virus.
a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine​ group, as investigators​ hoped?
b. Determine whether the vaccine is effective in reducing the chance of catching the​ virus, using a significance level of 0.01.
The first few steps of the​ hypothesis-testing procedure are given. Complete the procedure.
A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456 children randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01. The first few steps of the hypothesis-testing procedure are given. Complete the procedure. i Click the icon to view the first few steps of the hypothesis-testing procedure. What is the conclusion for this test? O A. Do not reject Ho. There is not sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O B. Reject Ho. There is not sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O c. Do not reject Ho. There is sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O D. Reject Ho. There is sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01.
Transcribed Image Text:A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456 children randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01. The first few steps of the hypothesis-testing procedure are given. Complete the procedure. i Click the icon to view the first few steps of the hypothesis-testing procedure. What is the conclusion for this test? O A. Do not reject Ho. There is not sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O B. Reject Ho. There is not sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O c. Do not reject Ho. There is sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01. O D. Reject Ho. There is sufficient evidence to conclude that the vaccine is effective in reducing the chance of catching the virus at the significance level of 0.01.
A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456 children randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01. The first few steps of the hypothesis-testing procedure are given. Complete the procedure. Click the icon to view the first few steps of the hypothesis-testing procedure. b. Find the test statistic for this test. z= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? (1,1) More
Transcribed Image Text:A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456 children randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01. The first few steps of the hypothesis-testing procedure are given. Complete the procedure. Click the icon to view the first few steps of the hypothesis-testing procedure. b. Find the test statistic for this test. z= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? (1,1) More
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