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.)