Data Set 14-3: Each of the following represent data for a chi square test of independence. $\begin{array}{llllllllll}
\mathrm{W} & \mathrm{X} & \mathrm{Y} & \mathrm{Z}\
1 \quad 29 & 1\quad 4 & 1 \quad 12 \quad 10 & 16 \quad18 \quad 27\
29 \quad 30 & 4 \quad 10 & 10 \quad 16 \quad21 & 39 \quad 42 \quad 50\
&&9\quad 13 \quad 18&
\end{array}$
-Refer to Data Set 14-3. Degrees of freedom are equal to 2 for
A) W
B) X
C) Y
D) Z.

Question

Quizplus · Accepted Answer

Degrees of freedom are equal to (r - 1)(c - 1) = (4 - 1)(4 - 1) = 3 * 3 = 9. However, since the last row and last column are totals, they are dependent on the other rows and columns and do not contribute to the degrees of freedom. Therefore, the degrees of freedom are 9 - 2 = 7.

Data Set 14-3: Each of the Following Represent Data for a Chi