Question

Given the contingency table of observed values below, fill in the second table with the expected values.  Round the results to one decimal place.

Observed values

	Choice A	Choice B	Choice C	Choice D
Category 1	20	11	25	30
Category 2	15	20	18	9

Expected values:

Answer 1

Solution:

Expected value formula is given as below:

E = row total * column total / Grand total

From given table, we have

Grand total = 148

Observed Frequencies
	Column variable
Row variable	Choice A	Choice B	Choice C	Choice D	Total
Category 1	20	11	25	30	86
Category 2	15	20	18	9	62
Total	35	31	43	39	148

Expected frequencies are given as below:

Expected Frequencies
	Column variable
Row variable	Choice A	Choice B	Choice C	Choice D	Total
Category 1	35*86/148 = 20.33784	31*86/148 = 18.01351	24.98649	22.66216	86
Category 2	35*62/148 = 14.66216	31*62/148 = 12.98649	18.01351	16.33784	62
Total	35	31	43	39	148