Cattle are classified according to age (young, medium, and old) and carcass quality (grades A, B, and C).In one study, the animals were classified
As: The chi-square statistic for testing if there is an association between age and carcass quality was
Calculated.What is the expected frequency for the (2,2) cell?

Question

Cattle are classified according to age (young, medium, and old) and carcass quality (grades A, B, and C).In one study, the animals were classified
As:  The chi-square statistic for testing if there is an association between age and carcass quality was
Calculated.What is the expected frequency for the (2,2) cell?

Quizplus · Accepted Answer

To calculate expected frequency, we first need to calculate the row and column totals. Then, we can use the formula:
Expected frequency = (row total x column total) / grand total.

For the (2,2) cell, the row total is 29 and the column total is 47. The grand total is 135. So, the expected frequency is:

(29 x 47) / 135 = 1013 / 27 ≈ 37.52

Rounding to the nearest whole number, the expected frequency for the (2,2) cell is 38, which is closest to answer choice B (45).

Cattle Are Classified According to Age (Young, Medium, and Old)