00:01
Right.
00:02
So after being rejected for employment, kim kelly learns that this company that she applied for has hired only three women among the last 19 employees.
00:15
And she also learns that the pool of applicants is large with an approximately equal number of qualified men as women.
00:21
I'm going to help her address this charge of gender discrimination by finding the probability of getting three or fewer women when 19 people are hired.
00:30
Assuming that there's no discrimination based on gender.
00:36
So we want at most three, the probability of at most three.
00:40
And we're going to test this with 0 .5 % as our cutoff value, which is an alpha of 0 .005.
00:51
With this in mind, does the resulting probability really support such a charge? let's figure this out.
00:57
So our big probability distribution for our binomial event, higher, not higher.
01:07
It's going to be n choose x.
01:10
So in this case, it's 19 choose x.
01:14
The probability p equal to normally, well, let me write, normally given it the p to x and is one minus p to the n minus x like that.
01:29
But n is, and this is where n would go.
01:35
But n is 19 here.
01:36
So we're going to fill this in...