Homework Help is Here – Start Your Trial Now!
Math
Statistics
Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 328 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated ones later got the disease. We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table. (b) Find the value of the test statistic (using the contingency table method). (c) Find the critical value (using the contingency table method).

Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 328 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated ones later got the disease. We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table. (b) Find the value of the test statistic (using the contingency table method). (c) Find the critical value (using the contingency table method).

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
See similar textbooks
icon
Related questions
Question
Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 328 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated ones later got the disease. Problem #3(a): Problem #3(b): Problem #3 (c): Problem #3 (d): Problem #3(e): We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table. (b) Find the value of the test statistic (using the contingency table method). (c) Find the critical value (using the contingency table method). (d) Using the z-test for proportions, find the value of the test statistic (and verify x², when there is one degree of freedom). that z = (e) Find the p-value. TALO Separate your answers with a comma. The order doesn't matter. Answers correct to 4 decimals. test statistic (correct to 3 decimals) critical value (correct to 3 decimals) answer correct to 2 decimals p-value (correct to 4 decimals)
Transcribed Image Text:Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 328 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated ones later got the disease. Problem #3(a): Problem #3(b): Problem #3 (c): Problem #3 (d): Problem #3(e): We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table. (b) Find the value of the test statistic (using the contingency table method). (c) Find the critical value (using the contingency table method). (d) Using the z-test for proportions, find the value of the test statistic (and verify x², when there is one degree of freedom). that z = (e) Find the p-value. TALO Separate your answers with a comma. The order doesn't matter. Answers correct to 4 decimals. test statistic (correct to 3 decimals) critical value (correct to 3 decimals) answer correct to 2 decimals p-value (correct to 4 decimals)
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS