A test for independence is applied to a contingency table with 4 rows and 4 columns.The degrees of freedom for this chi-square test is 9.

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The degrees of freedom for a chi-square test of independence is (r-1)(c-1), where r is the number of rows and c is the number of columns in the contingency table. In this case, r=4 and c=4, so the degrees of freedom is (4-1)(4-1) = 9.

A Test for Independence Is Applied to a Contingency Table