Chapter 16
Commonly Used Hypothesis Tests: Formulas and Examples
IN THIS CHAPTER
Breaking down commonly used hypothesis tests
Calculating their test statistics
Using the results to make informed decisions
From product advertisements to media blitzes on recent medical breakthroughs, you often run across claims made about one or more populations. For example, “We promise to deliver our packages in two days or less” or “Two recent studies show that a high-fiber diet may reduce your risk of colon cancer by 20 percent.” Whenever someone makes a claim (also called a null hypothesis) about a population (such as all packages or all adults), you can test the claim by doing what statisticians call a hypothesis test.
A hypothesis test involves setting up your hypotheses (a claim and its alternative), selecting a sample (or samples), collecting data, calculating the relevant statistics, and using those statistics to decide whether the claim is true.
In this chapter, I outline the formulas used for some of the most common hypothesis tests, explain the necessary calculations, and walk you through some examples.
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