Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial testing a new vaccine for type B hepatitis. The vaccine was given to 328 pers randomly selected from the group, and the others were injected with a neu substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated o later got the disease. We wish to test the hypothesis that the probability of getting type B hepatitis different (higher or lower) for people who were vaccinated compared with peo who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 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 testing a new vaccine for type B hepatitis. The vaccine was given to 328 pers randomly selected from the group, and the others were injected with a neu substance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated o later got the disease. We wish to test the hypothesis that the probability of getting type B hepatitis different (higher or lower) for people who were vaccinated compared with peo who were not, using the 5% significance level. (a) If we use the contingency table method to test this hypothesis, find the 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).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
Can you answer all these questions: a is incomplete and im unsure of all.
![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.
Problem #3 (d):
(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): 328,40,808
Problem #3(e):
(d) Using the z-test for proportions, find the value of the test statistic (and verify
that z = x², when there is one degree of freedom).
(e) Find the p-value.
Problem #3(b): 1.848
Problem #3(c): 3.841
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F949f7a1f-f6d1-44e7-b99b-2b0ff023989b%2F9be1704a-f9a7-42bd-89b2-bf5e71ef913d%2Fgpr7sj_processed.png&w=3840&q=75)
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.
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.
Problem #3 (d):
(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): 328,40,808
Problem #3(e):
(d) Using the z-test for proportions, find the value of the test statistic (and verify
that z = x², when there is one degree of freedom).
(e) Find the p-value.
Problem #3(b): 1.848
Problem #3(c): 3.841
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)
![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.
Problem #3(d):
(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): 328,40,808
Problem #3(e):
(d) Using the z-test for proportions, find the value of the test statistic (and verify
that z² = x², when there is one degree of freedom).
(e) Find the p-value.
Problem #3(b): 1.848
Problem #3(c): 3.841
ADD
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F949f7a1f-f6d1-44e7-b99b-2b0ff023989b%2F9be1704a-f9a7-42bd-89b2-bf5e71ef913d%2F9grfgr_processed.png&w=3840&q=75)
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.
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.
Problem #3(d):
(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): 328,40,808
Problem #3(e):
(d) Using the z-test for proportions, find the value of the test statistic (and verify
that z² = x², when there is one degree of freedom).
(e) Find the p-value.
Problem #3(b): 1.848
Problem #3(c): 3.841
ADD
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)
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