If we want to perform a two-tail test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p₁ -p₂,or the chi-squared test of a contingency table.

Question

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Both the z-test and chi-squared test can be used for testing differences between two populations of nominal data with exactly two categories.

If We Want to Perform a Two-Tail Test for Differences