00:02
Hello students, according to the given question we have to find the chi -square test.
00:06
So here it was given alpha is equal to 0 .10 and they have given the observed frequency values that is denoted as oi.
00:17
So they are so let it be a1, a2, a3 and a4 we have to calculate the total values.
00:26
So here b1 and b2.
00:28
So given 17, 48, 31, 48, 20, 51, 22 and 47 the total is 90 here it is 194 and the column total is 65, 79, 71, 69.
00:47
The overall total is 284.
00:50
Now from the above expected values we have to calculate the expected frequency values that is ei.
00:59
So the formula is row total into column total is divided by the grand total.
01:11
So here the expected frequencies for a1, a2, a3 and a4 are here it is b1 and b2.
01:20
So 20 .5986, 44 .40, 25 .035, 53 .96, 22 .5, 48 .5, 21 .866 and 47 .13.
01:40
Now the chi -square is equal to summation oij minus eij whole square is divided by eij...