00:01
We have been given some sample data.
00:02
Sample size n is 148.
00:05
The sample proportion p -hat is 83 .8%, 0 .838.
00:12
I've turned that into a decimal because we're going to do some calculations and percentages do not play well with calculations.
00:20
Okay so now we are going to make a...
00:23
Okay we're going to find the margin of error for a confidence interval with 90 % confidence.
00:28
The formula for such a interval is p -hat, which estimates plus and minus the margin of error z root p -hat 1 minus p -hat over n.
00:39
So we're interested in this term here.
00:42
We have n, we have p -hat, we just need z.
00:44
We get that from the level of confidence.
00:47
Initially this is a binomial experiment.
00:49
N independent trials, two outcomes, success or failure, same probability p, the population proportion, whatever it is, of success on each trial.
00:59
The binomial variable is x, the number of successes in the sample...