Question

Two competing airlines, Alpha and Beta, fly a route between Des Moines, Iowa, and Wichita, Kansas. Each airline claims to have a lower percentage of flights that arrive late. Let p1 be the proportion of Alpha's flights that arrive late and p2 the proportion of Beta's flights that arrive late. Suppose that p1=0.32 and p2=0.22. Find the probability that a sample of 100 flights for each airline (200 in all) would yield p̂1≥p̂2.

Round your answer to four decimal places.

P(p̂1≥p̂2)=

Answer 1

To calculate the required probability we will use z distribution