39. The Democrat and Chronicle reported that 25% of the flights arriving at the San Diego airport during the first five months of 2001 were late (Democrat and Chronicle, July 23, 2001). Assume the population proportion is p  .25.

a. Show the sampling distribution of , the proportion of late flights in a sample of 1000 flights.

b. What is the probability that the sample proportion will be within .03 of the population proportion if a sample of size 1000 is selected?

c. Answer part

(b) for a sample of 500 flights.