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 (AARP Bulletin, March 2014). The average percentage across all states and the District of Columbia is 57.7%. The data in the DATAfile Homestate are consistent with the findings in the American Community Survey. The data are for a random sample of 120 Arkansas residents and for a random sample of 180 Virginia residents.a. Formulate hypotheses that can be used to determine whether the percentage of stayat-home residents in the two states differs from the overall average of 57.7%.b. Estimate the proportion of stay-at-home residents in Arkansas. Does thisproportion differ significantly from the mean proportion for all states? Use α = .05.c. Estimate the proportion of stay-at-home residents in Virginia. Does thisproportion differ significantly from the mean proportion for all states? use α = .05. d. Would you expect the proportion of stay-at-home residents to be higher in Virginia than in Arkansas? Support your conclusion with the results obtained in parts (b) and (c).
What percentage of the population live in their state of birth? According to the U.S. Census Bureau’s American Community Survey, the figure
a. Formulate hypotheses that can be used to determine whether the percentage of stayat-home residents in the two states differs from the overall average of 57.7%.
b. Estimate the proportion of stay-at-home residents in Arkansas. Does this
proportion differ significantly from the mean proportion for all states? Use α = .05.
c. Estimate the proportion of stay-at-home residents in Virginia. Does this
proportion differ significantly from the mean proportion for all states? use α = .05.
d. Would you expect the proportion of stay-at-home residents to be higher in Virginia than in Arkansas? Support your conclusion with the results obtained in parts (b) and (c).
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