During the first 15 weeks of the 2016 season of a certain professional football league, the home team won 137 of the 240 regular-season games. Is there strong evidence of a home field advantage in this league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test. Determine the hypotheses for this test. (The proportion of home teams winning is denoted by p.) H 0
:p H A
:p (Type integers or decimals.)