A city council votes to appropriate funds for a new civic auditorium. The mayor of the city threatens to veto this decision unless it can be shown that a majority of citizens would use it at least twice a year. The council commissions a poll of city residents. For a random sample of 500 residents, 220 say they would use the facility at least twice a year. a. Find a 95% confidence interval for the proportion of all residents of the town that would say they would use the proposed auditorium at least twice a year.
Interpret the interval, and give the mayor your advice.
b. This confidence interval means:
c. The mayor should because