Suppose a shipment of oranges is advertised to weigh 5 pounds per bag. We know that not every bag can contain exactly 5 pounds of oranges. We decide to take a random sample of 100 bags of oranges and find out what they tell us about the population of all bags in this shipment. We are only interested in whether or not the bags are underweight, so each bag is weighed and counted as underweight if it weighs less than 5 pounds. Five bags in our sample of 100 were found to be underweight

a) What is the 95% confidence interval for the true proportion of all bags that are underweight in the entire shipment?