• Recognize when a one-sample [latex]z[/latex]-test or a two-sample [latex]z[/latex]-test is needed to answer a research question.
• Complete a two-sample [latex]z[/latex]-test for proportions from hypotheses to conclusions.

A one-sample test of proportions is used to test a claim about a population proportion based on data from a single sample. However, in some situations, we may have two independent samples, and we need to compare the proportions between the two groups.

A two-sample test of proportions is employed to test a claim about two population proportions, whether there is a significant difference in proportions between the two distinct groups or populations.

Note that when testing a claim that compares two populations, you must also check that the two populations are independent.

Let’s see if we can distinguish between situations where a one-sample test would be appropriate and where a two-sample test would be appropriate.

Will I get a callback?

In 2004, two University of Chicago economists (Marianne Bertrand and Sendhil Mullainathan) decided to conduct an experiment^[1] to test for labor market discrimination.

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