00:01
So for this problem, we are, well, one second here, i'll put the text on screen.
00:06
So we're told that the number of men and women among professors, two academic areas, science or humanities, from a simple random sample of small colleges were counted and the results were given.
00:17
We're asked to use the alpha equals 0 .01 level of significance to determine whether or not the relationship between sex and academic area is statistically significant.
00:27
So the first thing that we want to do is calculate the totals across each row and each column.
00:34
So we'd have that the total across the men row is 60, and across the women row is 40.
00:42
So the overall total is 100.
00:45
And then we have 40 in the science column and 60 in the humanities column.
00:53
Then having that, we want to find the expected value for each one of the, those spaces.
01:00
So we find the expected value, for instance, of men in science by taking the product of the total number of men, 60, with the total number of scientists, 40, and dividing it by the overall total.
01:13
So, if i can hear, i'll first just copy down, or one second here, copy down the observed values.
01:21
So we have 28, 32, 12, 28.
01:25
Then we want the expected values.
01:28
We'll be dividing everything by...