A city council votes to appropriate funds for a new civic auditorium. The mayor threatens to veto unless it can be shown that a majority of citizens would use the facility. According to a random sample of 400 citizens, 230 stated they would in fact use the facility.
- Compute a 95% confidence interval for the proportion of all residents of the town who would use the auditorium.
- Interpret the confidence interval and advise the mayor.