00:01
In this question, we have to find the value of the chai square statistic for the test of independence from this table.
00:08
And the table can be drawn over here.
00:10
It will be row 1 and then here it will be row 2 and then here it will be row 3.
00:16
Now here we can write it as column and then it will be here 1 and then here we will be having column 2.
00:25
Right.
00:26
So now we can say that the value.
00:30
Here can be written as 15 and then it will be here again 15 and then here we can write the total values so total values will be 30 and then here for row 2 it will be 55 and then here it will be 25 and so it will be here equals to 80 now row 3 values will be like 30 and then it will be here 10 and so total value will be equals to now if we write here total then here the total of column 1 will be 100 and the total of column 2 will be equals to 50 and the total of this very column will be equals to 150 right? so this is the first table that we have drawn over here.
01:21
Now here we can draw the table for expected values.
01:25
So firstly here we can write ex, p, e, c and then it will be ted and so we can write values.
01:34
Now here we can write row 1 and then it will be here row 2 and so at last it will be row 3.
01:45
So now here we will be having column 1 so it can be written over here like this and then here we will be having column 2.
01:55
So now we can say that the values over here will be 100.
02:00
Multiplied with 30 and in the denominator we will have 150.
02:05
So this is equals to 20.
02:08
Now here it will be 100 multiplied with 80 and in the denominator it will be equals to 150.
02:17
So this is going to be 53 .33.
02:22
Now here it will be 100 multiplied with 40 and in the denominator again we are going to be 53.
02:30
Going to have 150 right.
02:32
So let us write that thing as well and it will be here equals to 26 .667.
02:41
Now here values will be like 50 multiplied with 30 and in the denominator we will have 150 value right.
02:52
So this will be equals to 10.
02:54
Now here we will be having 50 multiplied with 80 and in the denominator we will be denominator we will be having 150 values.
03:02
So this is equals to 26 .667.
03:07
Now here we are going to have 50 multiplied with 40 and in the denominator it will be again equals to 150...