A radio station advertising manager needs to know the proportion of radio listeners in the area who listen to the manager's radio station. Suppose that a random sample of 100 radio listeners in the area revealed that 34 listen to the manager's station.
(a) Construct a 90% confidence interval for the proportion of radio listeners in the area who listen to the manager's radio station.
(b) Give the margin of error E for the 90% confidence interval.