Find the rejection region for a test of independence of two classifications where the contingency table contains $r = 2$ rows and $c = 4$ columns and $\alpha = .10$.
A) $\chi ^ { 2 } 13.362$
B) $\chi ^ { 2 } 6.251$
C) $\chi ^ { 2 } 15.507$
D) $\chi ^ { 2 } 22.307$

Question

Find the rejection region for a test of independence of two classifications where the contingency table contains $r = 2$ rows and $c = 4$ columns and $\alpha = .10$.
A) $\chi ^ { 2 } > 13.362$
B) $\chi ^ { 2 } > 6.251$
C) $\chi ^ { 2 } > 15.507$
D) $\chi ^ { 2 } > 22.307$

Quizplus · Accepted Answer

The degrees of freedom for the test is $(r-1)(c-1) = (2-1)(4-1) = 3$. At $\alpha = 0.10$, the critical value from the chi-square distribution table for 3 degrees of freedom is 6.251.

Find the Rejection Region for a Test of Independence of Two