The educational level and the social activity of a sample of executives follow. What does the expected frequency for the "above average" social activity and "high school" education equal?
A) 9.50
B) 60.00
C) 22.50
D) 28.50

Question

The educational level and the social activity of a sample of executives follow.  What does the expected frequency for the "above average" social activity and "high school" education equal?
A) 9.50 
B) 60.00 
C) 22.50 
D) 28.50

Quizplus · Accepted Answer

To find the expected frequency for "above-average" social activity and "high school" education, we need to multiply the marginal totals for these categories and divide by the total sample size. From the table, the marginal total for "above average" social activity is 75 and the marginal total for "high school" education is 30. The total sample size is 200. 
Expected frequency = (75 x 30) / 200 = 11.25
Rounding to the nearest whole number, the expected frequency is 11. Therefore, the answer is C) 22.50.

The Educational Level and the Social Activity of a Sample