Data Set 14-4:Each of the following represent data for a chi square test of independence. $\begin{array}{rlllllllll}
\mathrm{W} & \mathrm{X} & \mathrm{Y} & \mathrm{Z}\
3 \quad 1 & 15 \quad 45 & 10 \quad 20 \quad 30 & 15 \quad 18 \quad 24 \
25 \quad 2 & 40 \quad 10 & 30 \quad 20 \quad 10 & 21 \quad 35 \quad 40 \
25 \quad 3 & \quad & \quad \quad & 18 \quad 20 \quad 25
\end{array}$

-In Data Set 14-4, the cell with the smallest expected frequency is in
A) W
B) X
C) Y
D) Z.

Question

Data Set 14-4:Each of the following represent data for a chi square test of independence. $\begin{array}{rlllllllll}
\mathrm{W} & \mathrm{X} & \mathrm{Y} & \mathrm{Z}\
3 \quad 1 & 15 \quad 45 & 10 \quad 20 \quad 30 & 15 \quad 18 \quad 24 \
25 \quad 2 & 40 \quad 10 & 30 \quad 20 \quad 10 & 21 \quad 35 \quad 40 \
25 \quad 3 & \quad & \quad \quad & 18 \quad 20 \quad 25
\end{array}$

-In Data Set 14-4, the cell with the smallest expected frequency is in
A) W
B) X
C) Y
D) Z.

Quizplus · Accepted Answer

The expected frequency in a chi-square test of independence is calculated based on the row and column totals. In Data Set 14-4, W has the smallest numbers overall, especially with counts as low as 1, 2, and 3 in its cells, indicating that it is likely to have the cell with the smallest expected frequency. Other datasets have larger numbers, which would generally lead to larger expected frequencies.

Data Set 14-4:Each of the Following Represent Data for a Chi