9.74

Start a hockey team

A fraternity at a university lobbies the administration to start a hockey team. To bolster its case, it reports that of a simple random sample of 100 students, 83% support starting the team. Upon further investigation, their sample has 80 males and 20 females. Should you be skeptical of whether the sample was random, if you know that 55% of the student body population was male? Answer this by performing all steps of a two-sided significance test.