00:01
So i'll note here that the context appears to be missing, but i am able to infer what the context for the problem is just based on the options that i'm seeing.
00:11
So it appears that we are doing a test for independence where the factors are degree and gender.
00:34
So it might be phrased as, you know, you're given this two -way table and you're asked to determine if gender and, or you could be determined, is there any difference between degree programs for genders or something along those lines.
00:54
But fundamentally, we would be doing a chi -squared test for independence where the two factors are degree and gender.
01:03
In a chi -squared test for independence, the null hypothesis is always that the factors are independent.
01:11
So our null hypothesis here would be that gender and degree are independent, or that might be phrased as unrelated or not related.
01:35
The alternative hypothesis would be that gender and degree are dependent, or they are related.
01:48
So looking at the different options, we would want to choose for question 7, the first one listed there, we'd want to choose the first option.
02:04
The preference on degree programs is independent of the gender of students.
02:09
And then for the second question there, question 8, for the alternative hypothesis, that would be that the preference on.....