A club at Roosevelt lobbies administration to start a girl's golf team. To bolster its case, the club reports that a simple random sample of 100 students, 83% support starting the team. Upon further investigation, their sample had 80 females and 20 males. Should the university be skeptical of whether the sample was random if you know that 65% of the student body population was female? Answer by performing all 5 steps of a two-sided significance test