Consider the 3 × 2 contingency table below.At $\alpha$
= )05,what is the tabular value of the chi-square statistic (critical chi-square value)which would be used to test for the independence of Factors A and B? $$\begin{array} { c c c }
& { \text { Factor B } } \
\text { Factor A } & \mathrm { B } _ { 1 } & \mathrm {~B} _ { 2 } \
\mathrm {~A} _ { 1 } & 16 & 14 \
\mathrm {~A} _ { 2 } & 15 & 25 \
\mathrm {~A} _ { 3 } & 9 & 21
\end{array}$$
A)0100
B)0201
C)5.991
D)5.024
E)10.597

Question

Consider the 3 × 2 contingency table below.At $\alpha$
= )05,what is the tabular value of the chi-square statistic (critical chi-square value)which would be used to test for the independence of Factors A and B? $$\begin{array} { c c c } 
& { \text { Factor B } } \
\text { Factor A } & \mathrm { B } _ { 1 } & \mathrm {~B} _ { 2 } \
\mathrm {~A} _ { 1 } & 16 & 14 \
\mathrm {~A} _ { 2 } & 15 & 25 \
\mathrm {~A} _ { 3 } & 9 & 21
\end{array}$$
A)0100
B)0201
C)5.991
D)5.024
E)10.597

Quizplus · Accepted Answer

The degrees of freedom for a chi-square test of independence in a contingency table are calculated as (rows - 1) * (columns - 1). Here, we have 3 rows and 2 columns, so the degrees of freedom are (3-1)*(2-1) = 2. At an alpha level of 0.05 and with 2 degrees of freedom, the critical chi-square value is 5.991.

Consider the 3 × 2 Contingency Table Below α\alphaα = )05,what Is the Tabular Value of the Chi-Square Statistic

Consider the 3 × 2 Contingency Table Below $\alpha$ = )05,what Is the Tabular Value of the Chi-Square Statistic