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A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across the six categories in a 2×3 matrix of categories. Which test has the larger value for df?

a. the test for goodness of fit

b. the test for independence

c. Both tests have the same df value.

d. The df value depends on the sizes of the samples that are used.

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