During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won142 of the 250 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.)   Calculate the test statistic. z=   Find the​ P-value. P-value=   State the conclusion of the test.

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