Question

The power of a test is 0.981. What is the probability of a Type II error?

   The power of a test is 0.981. What is the probability of a Type II error?

Introductory Business Statistics

Introductory Business Statistics

Alexander Holmes,… 1st Edition

Chapter 9, Problem 17

Instant Answer

Solved by Expert Robin Corrigan

05/21/2020

Step 1

The power of a test is the probability that the test correctly rejects a false null hypothesis. It is denoted by \(1 - \beta\), where \(\beta\) is the probability of a Type II error. Show more…

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The power of a test is 0.981. What is the probability of a Type II error?

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Key Concepts

Power of a Test

The power of a test is the probability that the test correctly rejects a false null hypothesis. It measures the test's ability to detect an effect when there truly is one and is influenced by factors such as sample size, effect size, and significance level.

Type II Error

A Type II error occurs when the test fails to reject a false null hypothesis. The probability of a Type II error, denoted as ? (beta), is the complement of the power of a test; that is, ? = 1 - power. Thus, if the power is 0.981, the probability of committing a Type II error is 0.019.

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