00:01
So we'll be assuming that the proportion of accountants minus the proportion of economic majors, the proportion who have jobs is equal or that the difference would be zero.
00:13
And alternately, that the accountants have a higher proportion of having a job at upon graduation, meaning that the difference would be positive.
00:21
And so we have our two p -hats, our p -hat.
00:24
One is that we find it 65 out of 100, and our p hat two for the economics majors is 52 out of 100.
00:35
And our pooled p for our test statistic would be the 200 on the bottom, and then adding the two tops, that looks like that's going to be 117.
00:44
And so now when we find that test statistic, that z value, we take the difference between the two proportions, which nicely they are out of 100.
00:55
And then divided by, and let's see, if we take that pooled p ends up being 0 .585.
01:03
So we take that 0 .585 times its complement, which is going to be 0 .415, if i just subtracted properly, in my head, and then one over the first sample size plus one over the second sample size.
01:17
And let's elongate these.
01:19
There we go.
01:20
And we get our test statistic to be 1 .86...