00:01
So we have a sample of 200 salespeople and the number of them that would like to take a self -improvement course is 156.
00:15
And a similar study 10 years ago had a sample of 170 salespeople with 112 that wanted to take such a course.
00:26
Our sample proportions then are going to be x1 over n1 which is 156 over 200 for the current situation.
00:37
And p hat 2 was 112 over 170 10 years ago.
00:44
And these values are 156 divided by 200 is equal to 0 .78.
00:55
And p2 hat is equal to 12 divided by 170 so 0 .6588.
01:06
And our hypothesis here, they want to see whether the current course recruitment efforts resulted in a greater proportion.
01:19
So a greater proportion, p1 is greater than p2.
01:25
And the null hypothesis then is that they are equal to each other or less than what we have from 10 years ago.
01:36
So that is, let's see here, answer a.
01:52
And then for question 24, what is the pooled or common proportion that attend a self -improvement course? well, p, the pooled one is going to be x1 plus x2 divided by n1 plus n2.
02:09
So this is going to be 156 plus 112 divided by 200 plus 170.
02:18
And that is equal to, oops, i want in parentheses 156 plus 112 divided by 370...