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. A simple random sample 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.

Find themargin of errorfor this survey if we want a 95% confidence in our estimate for p.

0.360

0.009

0.124

0.079

0.094