00:01
We have been given some sample data.
00:02
The sample size n is 50 and the sample proportion p -hat is 0 .6.
00:09
We want a confidence interval for the population proportion.
00:13
The formula we're going to use is p -hat, point estimate, sample proportion, plus and minus the margin of error, z root p -hat, 1 minus p -hat over n.
00:26
So we have n, we have p -hat, we just need z.
00:29
We get that from the level of confidence.
00:33
So initially this is a binomial experiment.
00:35
N independent trials, two outcomes, they meet the criteria or they don't.
00:39
Same probability p, whatever it is, of each person meeting the criteria.
00:44
The binomial variable is x, the number of people in the sample who meet the criteria.
00:49
We take a normal approximation and divide this distribution by n to turn it into a probability distribution for p -hat.
00:56
For our interval we put the point estimate middle, form the interval around it, in this case containing 95 % of the sampling distribution...