00:02
So we've taken a sample size of 50 and gotten a sample proportion of 30 out of 50, which is 0 .6.
00:11
But we want our margin of error to come out to be 0 .04, 4%.
00:20
So we're going to be using our margin of error formula here, the critical value times the square root of p hat times 1 minus p hat over n.
00:28
Margin of error is 0 .04.
00:31
At a 99 % confidence level, the z star, the critical value, is 2 .576.
00:39
The p hat is 0 .6, and we want to know what sample size will get us to that margin of error of 4%.
00:48
So we're going to use some algebra to figure this out.
00:50
We're first going to divide both sides by 2 .576.
00:56
So when we do that, we're going to get .0153 will equal the square root of 0 .6 times 1 minus .6...