00:01
Hi, i'm david and i'm here to help you answer your question.
00:04
Now let me bring up your question here.
00:07
In this question here we're talking about the combative interval for the subversion.
00:14
Here the formula will be a complete interval for b.
00:19
It will be the sample of abortion plus and minus zan4 over 2 times square root of the b, 1 minus b over the n.
00:30
The quantity on the right here, it will be called the matching error.
00:37
Now in this question here, we want to be 80 % confident that the sample proportion will be within 0 .1.
00:49
The 0 .1 means that will be the matching error.
00:53
And we are given that the estimate the b here is equal to the 0 .61.
01:01
And the question asks me to find the sample size n.
01:07
So to do it, we will need to compute the z -enpha over 2 with the 80 % confidence.
01:15
We know that the alpha equal to 100 % minus 80%, which is equal to the 20%.
01:25
Therefore, an 4 over 2 equal to the 10 % and equal to 0 .1.
01:31
Now we want to look for the z of the 0 .1...