This table lists the numbers of officers and enlisted...

This table lists the numbers of officers and enlisted personnel for women in the military. Find the critical value at ? = 0.01 for evidence of a relationship between rank and branch of the Armed Forces. Officers Enlisted Army 10,282 62,829 Navy 7,519 43,155 Marine Corps 931 3,160 Air Force 11,877 54,537 ) For the given table of observed frequencies: 1 2 3 A 60 57 55 B 90 89 98 C 48 91 84 i). Compute the row totals, the column totals, and the grand total. ii). Compute the value of the chi-square test statistic.

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00:01 So for the first problem shown, basically what we're looking for is the kai squared value for one minus our alpha value with a number of degrees of freedom.

00:13 I'll just say df for the moment.

00:15 The number of degrees of freedom, it'll be easier for me to type this out.

00:19 The number of degrees of freedom is going to be equal to the number of columns minus one times the number of rows, number of rows minus one.

00:30 So we can see we have two columns, so 2 minus 1, times four rows.

00:36 So we have 4 minus 1.

00:38 So that would be equal to just 1 times 3.

00:40 So we have 3 degrees of freedom.

00:42 So we're looking for kai squared with a proportion to the left of 0 .99.

00:48 Where i'll note that is what i mean here.

00:51 That is 99 % would be to the left.

00:53 So 0 .01 would be to the right.

00:56 And 3 degrees of freedom, which means that our critical value for the test statistic in that problem would be about 11 .3449.

01:07 Then for the second problem, what i'll do is actually bring down my excel sheet and sort of go over the way that you would go about doing this.

01:18 So i did this in excel just because it's a pretty tedious thing to do this all by hand.

01:23 But as we can see, first just filled out the table as presented and then using the sum function...

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