What percentage of the population live in their state of birth? Accordingto the U.S. Census Bureau's American Community Survey, the figureranges from 25% in Nevada to 78.7% in Louisiana (AARP Bulletin, March2014). The average percentage across all states and the District of Columbia is 57.7%. The data in the DATAfile Homestate are consistentwith the findings in the American Community Survey. The data are for arandom sample of 120 Arkansas residents and for a random sample of180 Virginia residents. a. Formulate hypotheses that can be used to determine whetherthe percentage of stay-at-home residents in the two states differsfrom 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 proportionfor 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 behigher in Virginia than in Arkansas? Support your conclusion withthe 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
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).
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