QUESTION How was Ei determined in this problem What is Ei an

QUESTION:

How was E_i determined in this problem?

What is E_i, and how did they come up with those numbers?

The following gives the age distribution for buffalo at three different locations within Yellowstone Park. Age Lamar District Nos Perce Firehole District 13 Row total Calf Yearlin Adult Column total 57 District 15 12 30 57 10 34 28 52 92 166 Are the age distribution and location independent at the .05 level? Ho: inependent H, de e pen ofen 314, 07 0825 2. 12.343 ,0019 15 ,07p 011,33IS3 , 337 1, 33 037 1 2 31,570.1839 U233 \'t ·6704 = (-| acceP

Solution

Ei is the expected value corresponding to a cell.

To get the expected values, note that

Ei = (row total)*(column total)/(grand total)

For example, for the first row, third column (calf, firehole district),

Ei = (41)*(57)/166 = 14.078.