00:01
Hello students, let us do this question.
00:03
From the given information, the correct answer choice for the null and alternative hypothesis is answer choice b.
00:10
We state null hypothesis as p1 is equal to p2 is equal to p3.
00:16
It means proportion of category 1, 2, 3 is same across the failure and success variable.
00:23
The alternative hypothesis h is at least one of the proportion is different from others.
00:44
So the correct answer choice is b.
00:46
Now we need to find p value.
00:50
For that we need to find the chi -squared test statistic.
00:53
Formula of chi -squared test statistic is oi minus ei bracket square upon ei summation over i.
01:03
Where oi is the observed frequency for the each cell, ei is the expected frequency, ei is computed as row total into column total for that cell upon grand total.
01:18
And then chi -squared quantity for each cell is computed by taking difference of observed and computed expected frequency, squaring that difference and dividing it by expected frequency...