Pilot Fatalities Researchers studied crashes of general aviation (noncommercial and nonmilitary) airplanes and found that pilots died in 5.2% of 8411 crash landings

(based on data from “Risk Factors for Pilot Fatalities in General Aviation Airplane Crash Landings,” by Rostykus, Cummings, and Mueller, Journal of the American Medical Association, Vol. 280, No. 11).

a. Construct a 95% confidence interval estimate of the percentage of pilot deaths in all general aviation crashes.

b. Among crashes with an explosion or fire on the ground, the pilot fatality rate is estimated by the 95% confidence interval of (15.5%, 26.9%). Is this result substantially different from the result from part (a)? What can you conclude about an explosion or fire as a risk factor?

c. In planning for the allocation of federal funds to help with medical examinations of deceased pilots, what single percentage should be used? (We want to be reasonably sure that we have enough resources for the worst case scenario.)