00:01
So, in the given question, we are going to conduct a hypothesis test.
00:03
So, here we have a null hypothesis that the personality type is independent of the type of business major, right.
00:18
And the alternative hypothesis is that the personality type is associated with the type of business major, right.
00:34
Now, the observed frequencies have been provided to us, all right.
00:39
So, first we will make the table here which we have.
00:42
So, this is for open, conscientious, extrovert, agreeable, neurotic.
00:53
And we have the total of our rows and this is for business, social science and there is column total, right.
01:04
Now, the observed frequency, this is 41, 52, 46, 61, 58, this is 72, 75, 63, 80 and 65, right.
01:17
Now, the observed frequencies we need to compute, right.
01:21
So, first of all our row totals here, this is 258, this is 355, here we have 113, 127, 109, 141, 123.
01:35
So, the grand total is 613.
01:37
Now first of all here the expected frequencies, right.
01:41
So, this is computed as row total into the column total divided by grand total.
01:47
So, for example, if you have to compute for the first one that will be equal to 258 divided by 100, sorry, this is multiplied by 113 divided by 613, right.
02:00
So, this will be equal to, so this will be 47 .56, right.
02:10
So, in the similar way we have computed the expected frequencies of all...