What percentage of the population live in their state of birth? According to the U.S. Census Bureau's American Community Survey, the figure ranges from 25% in Nevada to 78.7% in Louisiana. The average percentage across all states and the District of Columbia is 57.7%. In the sample of 180 Virginia residents, 89 are born in Virginia. a. Develop a point estimate and a 95% confidence interval for the proportion of stay-at-home residents in Virginia. b. Formulate hypotheses that can be used to determine whether the percentage of stay-at-home residents in Virginia is lower than the overall average of 57.7% c. Compute the value of the test statistic and give the appropriate conclusion using rejection region approach at a = = .05. d. What is the p-value? What is your conclusion based on the p-value?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3.
What percentage of the population live in their state of birth? According to the
U.S. Census Bureau's American Community Survey, the figure ranges from 25% in
Nevada to 78.7% in Louisiana. The average percentage across all states and the
District of Columbia is 57.7%. In the sample of 180 Virginia residents, 89 are born in
Virginia.
a. Develop a point estimate and a 95% confidence interval for the proportion of
stay-at-home residents in Virginia.
b. Formulate hypotheses that can be used to determine whether the percentage of
stay-at-home residents in Virginia is lower than the overall average of 57.7%
c. Compute the value of the test statistic and give the appropriate conclusion using
rejection region approach at a = .05.
d. What is the p-value? What is your conclusion based on the p-value?
Transcribed Image Text:3. What percentage of the population live in their state of birth? According to the U.S. Census Bureau's American Community Survey, the figure ranges from 25% in Nevada to 78.7% in Louisiana. The average percentage across all states and the District of Columbia is 57.7%. In the sample of 180 Virginia residents, 89 are born in Virginia. a. Develop a point estimate and a 95% confidence interval for the proportion of stay-at-home residents in Virginia. b. Formulate hypotheses that can be used to determine whether the percentage of stay-at-home residents in Virginia is lower than the overall average of 57.7% c. Compute the value of the test statistic and give the appropriate conclusion using rejection region approach at a = .05. d. What is the p-value? What is your conclusion based on the p-value?
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