Questions (Q1): The mayor of a certain town wants 80% of its population to be vaccinated. But she suspects that the true proportion of vaccinated citizens is less than that. A random sample of 500 citizens of the town reveals that 340 of them are vaccinated, and 160 are not. (a) Based on the sample, construct a 95% confidence interval for the percentage of the town's population that is vaccinated. (b) Should the mayor conclude that 80% of its population is not vacci- nated ? Explain. Use a 2.5% significance level