A reporter for Time Magazine was interested in residents’
levels of worry about being the victim of
crime in their neighborhood. They performed a telephone poll
of 500 adult Americans, 140 from urban
areas, 160 from suburban, and 200 from rural areas. The number
of adults who reported worring about
being a victim of crime was urban:83, suburban: 92, and rural:
86.
(a) Perform a hypothesis test at the 5% level of significance
to determine if there is evidence of a
difference in the proportion of urban and suburban residents
who worry about being the vicim of
crime? (Be sure to state your hypotheses, assumptions, and
show your computations.)
(b) Create a 95% confidence interval for the difference in
proportion of rural and urban residents
who worry about being a victim of crime.(Be sure to state your
assumptions and show your
computations.)