00:01
So to determine if the gun ownership in united states is independent of the geographical region, we'll do the chi -square test for independence.
00:15
So this test will assess whether there is a significant association between the two categorical variables and here the two categorical variables are geographical region and gun ownership status.
00:26
So first we'll set up the hypothesis.
00:28
So the null hypothesis will be gun ownership is independent of geographical region and the alternate hypothesis will be that gun ownership is not independent of geographical region.
01:06
So second step will be to create the contingency table which is given in the question.
01:13
We'll do first step.
01:15
This will be the observed table.
01:17
So this will be the total contingency table and we have calculated the total values which are here, here, here and this is the grand total.
01:36
Now we'll use this is the observed table and similarly we'll make the expected table the expected frequency table that was supposed to happen.
01:50
For that you'll use the formula.
01:52
So expected frequency the formula will be row total times column total divided by overall total.
02:07
So we'll do that for all the values all the cells and i'll show you for one.
02:13
So let's say we are dealing with this value.
02:17
So this will be the row total is we are corresponding to this value.
02:22
So the row total is 1195.
02:25
So 1195 times the column total which is 931 divided by 3877...