00:01
We have been given some sample data.
00:02
The sample size n is 423.
00:05
Out of these, 117 had sleep apnea.
00:10
We want a point estimate for the population proportion and then a confidence interval.
00:16
The formula for the confidence interval is p -hat, point estimate, sample proportion, plus and minus the margin of error, z root p -hat, 1 minus p -hat, over n.
00:30
We have n, what's p -hat? so p -hat is the point estimate.
00:36
It's our best guess for the population proportion based on the information we have.
00:41
It's the sample proportion.
00:43
117 out of 423 had sleep apnea in our sample.
00:48
So if i divide that i do get 0 .277.
00:56
For the rest of the interval, well i need z.
00:58
I get that from the level of confidence.
01:01
Initially this is a binomial experiment.
01:03
N independent trials, two outcomes, they have sleep apnea or they don't.
01:07
Same probability p, the population proportion, for each of them having it...