After once again losing a football 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. Let p represent the proportion of all living alumni who favor firing the coach.
Referring to the information above, suppose you wished to see if the majority of alumni are in favor of firing the coach. To do this you test the hypotheses H0: p = 0.50, Ha: p > 0.50 The P-value of your test is
a. between .01 and .001
b. below .001
c. between .10 and .05
d. between .05 and .01