If there are more than two row categories in a contingency table with fixed c column totals, then the test of independence is equivalent to a test of the equality of c sets of multinomial proportions.

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This statement is true. When there are more than two row categories in a contingency table with fixed c column totals, the test of independence between the rows and columns is equivalent to a hypothesis test of the equality of c sets of multinomial proportions. This is because the null hypothesis of independence assumes that the distribution of one variable is independent of the distribution of the other variable, so the proportions of the rows should be the same across each column. The test of independence can be conducted using methods such as the chi-squared test or Fisher's exact test.

If There Are More Than Two Row Categories in a Contingency