00:02
So on this problem, we will be assuming that the proportion of black, which they subscript as sub 1, is going to be 19 out of 40, and the proportion of the red is going to be 19 out of 40, and that the proportion of green is going to be 2 out of 40.
00:19
So those are the proportions that we would assume.
00:22
And our alternative, i don't believe that was said, is not all above our craft, not all above proportions are correct and so this is a kye squared goodness of bit test and we're using an alpha level of 0 .05 and one of your questions asked what the critical value is so i'm not going to name them in order but the questions that is in order but if we want to go to 0 .05 and we have three categories so another question is how many degrees of freedom while there are three categories less 1, so there are 2 degrees of freedom.
01:05
And that critical kai squared value, when i look that up on my table, with 2 degrees of freedom and 5 in the upper tail, 5 % in the upper tail, is 5 .99.
01:16
So that's your critical value.
01:18
And anything over this will be to reject the null.
01:22
And if it is less than that, then we will not reject the null.
01:25
And we need to calculate what your expected values are.
01:29
And your expected values, we're going to take that expected proportion times 150.
01:35
And when we do, we find out that these two become 71 .25, 75.
01:42
And this last one is 7 .5.
01:44
So those are the expected.
01:46
And then your kai squared statistic, i don't know that you need to show any work longhand, but is to take your observed minus your expected squared divided by the expected.
02:00
And you do that for all three cells.
02:03
And i'll write one more down and then i won't write the last one.
02:07
And i actually am going to use my software and plus that last one.
02:13
And so i'm going to use my calculator.
02:15
I have this data stored in list one, this in list two, and i have these in list three...