Coach Neil Young of the Big Sur High School football team (the “Groovies”) suspects that his team is violating his curfew rule that players must be in their homes by 10:00 PM. In order to check his suspicion, Coach Young decides to telephone the homes of his players at 10:15 on Thursday night. As phoning is tedious, he calls only a random sample of ten players. It turns out that two of the ten players called are not at home at this time. Coach Young has threatened that unless he is confident at the .05 level that 25 percent or more of his team is not violating curfew (Coach Young is an MPA graduate who did well in statistics), he will return the team to two-a-day workouts—an activity universally hated by players. Based on the coach’s poll, does the team have a reason to be worried?
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