Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for * as needed.) p=0.004 Ho: p=0.006

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000
people in the United States, VeganBits found 60 who are vegetarians.
(a) Develop a point estimate of the proportion of people in the United States who are vegetarians.
0.005
(b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United
States who are vegetarians exceeds 0.004. (Enter != for + as needed.)
Ho:
p=0.004
p=0.006
(c) Conduct your hypothesis test using a = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
1.74
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0409
State your conclusion.
Reject H,. We can conclude that the proportion of people in the United States who are vegetarians exceeds
0.004.
Do not reject H.: We can conclude that the proportion of people in the United States who are vegetarians
exceeds 0.004.
Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds
0.004.
Do not reject Ho:
We cannot conclude that the proportion of people in the United States who are vegetarians
exceeds 0.004.
Transcribed Image Text:Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. 0.005 (b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for + as needed.) Ho: p=0.004 p=0.006 (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) 1.74 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0409 State your conclusion. Reject H,. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Do not reject H.: We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Do not reject Ho: We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.
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