Price deregulation in the airline industry has promoted competition and a variety of fare structures. Prior to deciding on a price change, a particular airline is interested in obtaining an estimate of the proportion of the market that it presently captures for a certain city. A random sample of 300 passengers indicates that 80 used that airline.
(a) Find a point estimate of the proportion of the market that uses this particular airline.
(b) Find a 95% confidence interval for the proportion that uses this airline.
(c) Can the airline conclude that its market share is more than 25%? Use a level of significance of 0.01.