The president of Prof. Anderson’s university is interested in the proportion of students favoring the new campus bus system.

(a) Since there are 13,200 students and the president would like to have a 95 %

confidence interval to extend 3 % on each side of the mean proportion, how many students should be surveyed?

(b) Suppose a sample with the sample size being determined by

(a) and 516 of them favoring the new campus bus system. Construct a 95 % confidence interval for the population proportion.