00:03
So in this question, 99 confidence interval for joe biden, probability based on the given poll rate.
00:13
So the formula of c, confidence interval.
00:24
What's the formula? it's p hat plus minus c multiplied by square root.
00:33
So p hat multiplied by 1 minus p is divided by n.
00:44
So the p hat is a sample.
00:47
Sample portion is the 50%.
01:00
Or z is a critical value.
01:11
And n is a sample size.
01:20
So what's the z? z is equal to 2 .576.
01:31
Sample size is 1007 in this case.
01:35
And what is the 50 %? it's a sample portion.
01:40
So we calculate the critical of z.
01:44
So first, we calculate the z.
01:48
It's a critical value.
01:52
So z is equal to 0 .576.
01:56
So then p is 0 .50, 50%.
02:04
So n is equal to 1007.
02:08
So what's the standard error? se.
02:14
So se is equal to square root p bar multiplied by 1 p divided by n.
02:23
So putting all the value.
02:26
So we're using these values.
02:30
We'll find the standard error and then margin of error.
02:38
Moe is equal to z and then multiplied by se.
02:45
So first, so lower bound and upper bound.
02:58
So then we calculate lower and upper bound.
03:10
So lower bound is equal to p hat minus moe.
03:26
And the upper bound is p hat plus moe.
03:35
So we can calculate z.
03:39
We already know standard deviation.
03:42
So the critical point is square root 0 .50 multiplied by 0 .07.
04:13
1007.
04:14
1007.
04:30
So then we find margin error...