Question

Suppose that, in a hypothesis test, the null hypothesis is in fact true. a. Is it possible to make a Type I error? Explain your answer. b. Is it possible to make a Type II error? Explain your answer.

Name: Problem 14, Chapter 9: Introductory Statistics
Uploaded: 2021-04-22T13:55:24-08:00
Duration: 1 min 35 s
Channel: Jeremiah Mbaria
Description: Suppose that, in a hypothesis test, the null hypothesis is in fact true. a. Is it possible to make a Type I error? Explain your answer. b. Is it possible to make a Type II error? Explain your answer.

   Suppose that, in a hypothesis test, the null hypothesis is in fact true.
a. Is it possible to make a Type I error? Explain your answer.
b. Is it possible to make a Type II error? Explain your answer.

Introductory Statistics

Neil A. Weiss 9th Edition

Chapter 9, Problem 14

Instant Answer

Solved by Expert Jeremiah Mbaria

04/22/2021

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Step 1: We are given that the null hypothesis is true. Show more…

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Suppose that, in a hypothesis test, the null hypothesis is in fact true. a. Is it possible to make a Type I error? Explain your answer. b. Is it possible to make a Type II error? Explain your answer.

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Key Concepts

Null Hypothesis

The null hypothesis is a statement used in statistical hypothesis testing that there is no effect or difference, or that any effect is due to chance. It serves as a default position that the evidence is measured against and is assumed true until proven otherwise through data analysis.

Type I Error

A Type I error occurs when the null hypothesis is incorrectly rejected when it is, in fact, true. This is known as a false positive, meaning the test indicates an effect or difference that does not actually exist because of random chance or sampling error.

Type II Error

A Type II error happens when the null hypothesis is incorrectly not rejected when it is actually false. This represents a false negative, where the test fails to detect a real effect or difference that actually exists in the population.

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