00:01
Based on an earlier study, the proportion of adults who have credit cards was found to be 66%.
00:08
Now, we are interested in constructing a 99 % confidence interval on the population proportion.
00:16
That is the proportion in the overall population who have credit cards.
00:21
But we want to construct it such that our point estimate is within 0 .03 of the true population proportion.
00:30
And with that in mind, what size of sample is required to have? a confidence interval that precise.
00:39
The required sample size is given by this formula.
00:59
Now we know what error we want.
01:00
We want plus or minus .03.
01:05
We can find this percentile.
01:09
We know the confidence level and therefore we know alpha.
01:12
And p is the population proportion.
01:14
We don't actually know this but we do have an estimate for it which is .66.
01:22
So let's start with the z subalpha over 2...