00:01
We're looking at a sample.
00:02
It has a sample size n of 450, a sample proportion p -hat of 0 .15.
00:08
So 15 % of the sample met the criteria.
00:11
We want a confidence interval for the population proportion.
00:15
The formula for this is p -hat, point estimate, plus and minus the margin of error z root p -hat, 1 minus p -hat over n.
00:26
So we have n, we have p -hat, we just need z.
00:29
We get that from a level of confidence.
00:32
Initially this is a binomial experiment.
00:34
N independent trials, two outcomes meet the criteria or they don't.
00:38
Same probability p, the population proportion of each member of the sample meeting the criteria.
00:44
The binomial variable is x, number from a sampler besides who do meet criteria.
00:50
We take a normal approximation to the binomial and divide this distribution by n, turning it into a distribution for p -hat...