00:01
The following is the solution to number 17, and this one asks for the sample size necessary to, this is a high -speed internet access.
00:08
They did a survey and saw how many people had access to high -speed internet, and we want the margin of error to be within three percentage points.
00:17
So the margin of error is 0 .03, and i'm using this formula up here.
00:21
So this was in your book, but you can also derive it from the margin of error formula, but if p hat times one minus p hat times the critical value divided by the margin of error quantity squared.
00:33
So 99 % confidence.
00:36
Now you may have those numbers memorized the z star, but if you don't, you can look at a chart or you can use your calculator.
00:42
I'm going to use the tid4.
00:43
If you go to second distribution and go to this inverse norm here, and you can put your area as the 99%.
00:52
And then you're going to change this to center.
00:54
So make sure center is highlighted there because it's center, it's always center for confidence interval.
01:01
And then we paste and then this is going to give us that, it gives us two, you know, positive and negative, but it's just the 2 .576.
01:08
Okay, so z stars 2 .576 and then p hat is 0 .44...