00:01
So in part a, we're going to be performing a hypothesis test at 0 .05.
00:06
And in part b, we're going to find a 95 % confidence interval for the difference between a single and a proportion of and married.
00:18
So the proportions for single and married.
00:21
And so for our first one, we're doing a two proportion z test.
00:28
And our z value, let's write our hypotheses first, we'll be assuming that the difference between the single proportion minus the married proportion is equal to zero, and then alternately that that difference between those proportions of single and married is not zero, so that there is a difference.
00:50
And our z value will be calculated by taking the difference between those two proportions.
00:55
I have 76 over 400, minus the 90 over 900.
01:02
And then we're going to divide that by that pooled p.
01:05
And the pooled p would end up being 1 ,300.
01:10
And that looks like 166.
01:15
And then its complement is going to be 1 ,144 out of 1 ,300.
01:24
And then times 1 over 400 plus 1 over ,000.
01:28
900.
01:31
And that z value comes out to be, and you can just use your software, assumingly, that z value is large...