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 population of all living alumni was taken. 64 of the alumni in the sample were in favor of firing the coach. Let p represent proportion of living alumni who favor firing the coach.
Give 95% confidence interval for p.Confidence Interval - Statistics?
p-hat 卤 z*鈭歔(p-hat)(1 - p-hat)/n], where p-hat is the sample proportion, z* is the critical value, and n is the sample size
The critical z value for 95% confidence is about 1.95996. The proportion is 64/100 or 0.64, and the sample size is 100.
0.64 卤 (1.95996)鈭歔0.64(1 - 0.64)/100]
0.64 卤 0.09408
(0.54592, 0.73408) %26lt;===ANSWER
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