The FAA is concerned about the increasingly high proportion of Axiom Airlines flights that arrive more than 30 minutes after their scheduled arrival times. You select a simple random sample of 100 Axiom flight records for the past year, and discover that for 40 of these sampled flights, the planes were, in fact, late beyond the 30 minute limit.
a. Construct and interpret the 98% confidence interval estimate of the overall late arrival rate for the airline.
b. Construct and interpret the 85% confidence interval estimate of the overall late arrival rate for the airline.