Flight arrival time. An airline claims that its flights will always arrive on time. To prove this claim, a random sample of the arrival time of the airline’s flights were selected, and the results showed that a 90% confidence interval for the proportion of all flights that arrived on time is 85% { 2%. What does this mean? Are the following conclusions in parts a–e correct? Explain.

a) Between 80% and 95% of all of the airline’s flights arrived on time.

b) 90% of all random samples of flights will show that 85%

of f lights arrived on time.

c) 90% of all random samples of flights will show that 80%

to 95% of flights arrived on time.

d) The airline company is 90% sure that between 80% and 95% of the flights in this sample arrived on time.

e) Of 90% of the arrival times, between 80% and 95% of the f lights will arrive on time.