5.9 Do our athletes graduate?

A university claims that at least 80% of its basketball players get degrees. To see if there is evidence to the contrary, an investigation examines the fate of 20 players who entered the program over a period of several years that ended six years ago. Of these players, 11 graduated and the remaining nine are no longer in school. If the university’s claim is true, the number of players who graduate among the 20 should have the binomial distribution with and at least equal to 0.8.