Most major airlines allow passengers to carry two pieces of luggage(of a certain maximumsize) onto the plane.However, their studies show that the morecarry-on baggage passengershave, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only onecarry-on per passenger. Before doingso, it decided to collect some data.Specifically, a random sample of 1,000 passengers was selected. The passengers wereobserved, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 384 had more than one bag.

a. Based on thissample, develop and interpret a 90% confidence interval estimate for the proportion of the traveling population that would have been impacted had theone-bag limit been in effect. Determine the confidence interval.

(round 3 decimal places)

b. A certain plane has a capacity for 555 passengers. Determine an interval estimate of the number of passengers that you would expect to carry more than one piece of luggage on the plane. Assume the plane is at its passenger capacity.

(round to whole number)

c. Suppose the airline also noted whether the passenger was male or female. Out of the 1,000 passengersobserved, 650 were female. Of thisgroup, 211 had more than one bag. Using thesedata, obtain and interpret a 90% confidence interval estimate for the proportion of female passengers in the population who would have been affected by theone-bag limit.

Determine the confidence interval.

(round 3 decimal places)

d. Suppose the airline decides to conduct a survey of its customers to determine their opinion of the proposedone-bag limit. The plan calls for a random sample of customers on different flights to be given a short written survey to complete during the flight. One key question on the survey willbe: "Do you approve of limiting the number ofcarry-on bags to a maximum of onebag?" Airline managers expect that only about 20% will say"yes." Based on thisassumption, what size sample should the airline take if it wants to develop a 90% confidence interval estimate for the population proportion who will say"yes" with a margin of error of 0.04?

(round to whole number)