When a hypothesis test is being carried out, there are four different situations that can occur depending on the truthfulness of the null hypothesis. Type I error occurs when the following situation happen The null hypothesis is false, but we mistakenly fail to reject it. The null hypothesis is true, but we mistakenly reject it. The null hypothesis is false, and we reject it. The null hypothesis is true, and we fail to reject it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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When a hypothesis test is being carried out, there are four different situations that
can occur depending on the truthfulness of the null hypothesis. Type I error occurs
when the following situation happen
The null hypothesis is false, but we mistakenly fail to reject it.
The null hypothesis is true, but we mistakenly reject it.
The null hypothesis is false, and we reject it.
The null hypothesis is true, and we fail to reject it.
Transcribed Image Text:When a hypothesis test is being carried out, there are four different situations that can occur depending on the truthfulness of the null hypothesis. Type I error occurs when the following situation happen The null hypothesis is false, but we mistakenly fail to reject it. The null hypothesis is true, but we mistakenly reject it. The null hypothesis is false, and we reject it. The null hypothesis is true, and we fail to reject it.
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