00:01
So we have a population of 1 ,200 people and a sample of 120, so 10%.
00:07
And so we're going to have to use that correction factor since this is bigger than 5%.
00:11
And they found that 110 of the clients were highly satisfied.
00:17
And we want to find a 95 % confidence interval for the entire proportion if we had gotten information from all 1 ,200 clients.
00:27
And so we have our p hat is this, and i'm going to double check and make sure i wrote my numbers down, right? yep, 110 out of 120.
00:37
That's pretty good.
00:38
110 out of 120.
00:40
So we have our 110 out of 120 or 1112s, plus or minus, and then we're going to use our z value for 95%, which is 1 .96.
00:52
And then we're going to use that correction factor here.
00:57
And we have the 11 twelfths times its complement, 112, divided by one less than the sample size, 119...