Education Technology

Meaning of Power

Published on 12/02/2011

Activity Overview

In this lesson, samples are generated from a population for a particular hypothesis test, leading to the conjecture that the null hypothesis is actually false.

Objectives

  • Students will describe power as the relative frequency of “reject the null” conclusions for a given hypothesis test.
  • Students will recognize that when the null hypothesis is true, power is exactly the same as alpha.
  • Students will recognize that if the null hypothesis is actually false, power measures the ability to detect an existing difference between truth and hypothesis.
  • Students will describe how power is influenced (in predictable directions) by sample size, alpha, and difference between actual and hypothesized parameter values.

Vocabulary

  • alpha level
  • critical value
  • power
  • significance level
  • type I error
  • type II error

About the Lesson

In this lesson, samples are generated from a population for a particular hypothesis test, leading to the conjecture that the null hypothesis is actually false.
As a result, students will:

  • Observe that most of the sample means fall in the rejection region.
  • Examine repeated samples to observe the relative frequency of "reject the null" conclusions -- that is, power or alph --as conditions change.
  • Recognize how the sample size, the true population mean, and the alpha, are related to power.
  • Relate the value of power to beta.