SOLUTION: 3)1000 people are asked if they have been to a theater in the past month. 320 answered “Yes”. Find the 95% confidence limit for this proportion.

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Question 1130747: 3)1000 people are asked if they have been to a theater in the past month. 320 answered “Yes”. Find the 95% confidence limit for this proportion.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half interval is +/- z sqrt(p*(1-p)/n); z=1.96 and p=0.32 and n=1000
p hat is 0.32, the proportion obtained (the point estimate)
half interval is 1.96* sqrt (.32*.68/1000); the sqrt=0.01475
half interval is 0.0289
95%CI is (0.2911, 0.3489)