Wiki Page, Math 13 - Perez Sandbox : Module 21 - Hypothesis Test for a Population Proportion (1a of 3)

Wiki Page
2026-01-17T21:15:32-08:00

Introduction

In the previous section, we introduced the concept of hypothesis testing. In a hypothesis test, we test competing claims about a population parameter or the difference between two population parameters.

We looked at four hypothesis testing situations:

Testing a claim about a single population proportion.

Testing a claim about a single population mean.

Testing a claim about the difference between two population proportions.

Testing a claim about the difference between two population means.

Although we follow the four steps we examined in the previous section, "Hypothesis Testing," for each of these situations, the specifics for each test are different. In this section, we in more detail at the hypothesis test for a single population proportion.

When we conduct a test about a population proportion, we are working with a categorical variable. Later in the course, after we have learned a variety of hypothesis tests, we will need to be able to identify which test is appropriate for which situation. Identifying the variable as categorical or quantitative is an important component of choosing an appropriate hypothesis test. We also have to distinguish between testing a claim about a population proportion and estimating a population proportion.

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