If we want to test for differences between two populations of nominal data with exactly two categories, we can employ either the z-test of $p _ { 1 } - p _ { 2 }$ , or the chi-squared test of a contingency table. (Squaring the value of the z-statistic yields the value of the $x ^ { 2 }$ -statistic.)

Question

Quizplus · Accepted Answer

This statement is true. Both the z-test and the chi-squared test can be used to compare two populations with nominal data and two categories. Additionally, the value of the $x ^ { 2 }$ -statistic is equivalent to the square of the z-statistic.

If We Want to Test for Differences Between Two Populations p1−p2p _ { 1 } - p _ { 2 }p1​−p2​

If We Want to Test for Differences Between Two Populations $p _ { 1 } - p _ { 2 }$