After the football team once again lost a game to the college's arch rival, the alumni association conducted a survey to see if alumni were in favor of firing the coach. An SRS of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach. Letprepresent the proportion of all living alumni who favor firing the coach.

Suppose you wished to see if the majority of alumni are in favor of firing the coach. To do this, you test the hypothesesH0:p= 0.50,Ha:p> 0.50.

TheP-value of your test is: