00:01
Hi, i'm david and i'm here to help your answer your question.
00:04
Let me bring up your question here.
00:06
In this question we will discuss out the compton interval for the proportion p.
00:13
And the formula will be the p heart plus and minus the z unfover 2 for the case and the n is large.
00:21
And then we have the square root of the b times 1 minus b over n.
00:27
Now in the case that we don't know the true proportion.
00:30
Portion, it will be the p -hart here.
00:34
And now in this question, we are given the value for the n equal to 56, x equal to 30, and 95 % confidence.
00:44
So first, we can get the p -hart by the formula x over n.
00:50
So we have the 30 over 56, then we get equal to the 0 .357.
01:02
And because we're not given the true proportion, so i'm going to use the p -hart in this case here.
01:11
And for the 95 % confident interval, it means then the z -unfer over 2, it will equal to the z -0 .025...