After a college's football team once again lost 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 = the true proportion of all living alumni who favor firing the coach. Which of the following gives the correct 95% confidence interval for p?

a. 0.64 + 0.009
b. 0.64 + 0.094
0.64 + 0.079
0.64 + 0.124
0.64 + 0.360