Consider the 3X2 contingency table below. Compute the expected frequencies in row 1.
A)16,14
B)20,30
C)12,18
D)15,15

Question

Consider the 3X2 contingency table below.  Compute the expected frequencies in row 1.
A)16,14 
B)20,30 
C)12,18 
D)15,15

Quizplus · Accepted Answer

To calculate the expected frequencies in a contingency table, we use the formula:

Expected Frequency = (row total x column total) / grand total

The row total for row 1 is 30, and the grand total is 60. So, the expected frequency for row 1, column 1 is (30 x 20) / 60 = 10. The expected frequency for row 1, column 2 is (30 x 40) / 60 = 20. Therefore, the answer is C) 12,18, which are the closest values to the expected frequencies calculated above.

Consider the 3X2 Contingency Table Below