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...

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 stay-at-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).