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Assume the null hypothesis states that the mean is equal to $88 .$ The alternative hypothesis states that the mean is not equal to 88. Is this a left-tailed, right-tailed, or two-tailed test?

   Assume the null hypothesis states that the mean is equal to $88 .$ The alternative hypothesis states that the mean is not equal to 88. Is this a left-tailed, right-tailed, or two-tailed test?

Introductory Business Statistics

Introductory Business Statistics

Alexander Holmes,… 1st Edition

Chapter 9, Problem 44

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Solved by Expert Lucas Everson

02/23/2020

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- The null hypothesis is \(H_0: \mu = 88\). - The alternative hypothesis is \(H_a: \mu \neq 88\). Show more…

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Assume the null hypothesis states that the mean is equal to $88 .$ The alternative hypothesis states that the mean is not equal to 88. Is this a left-tailed, right-tailed, or two-tailed test?

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Key Concepts

Null Hypothesis

The null hypothesis is a statement that assumes no effect, no difference, or a baseline condition for the population parameter being tested. In hypothesis testing, it is the default claim that any observed differences are due to chance unless there is strong evidence to reject it.

Alternative Hypothesis

The alternative hypothesis contradicts the null hypothesis and represents the claim that there is an effect or difference, often proposing that the population parameter is not equal to the specified value. It is what researchers aim to support with evidence from the sample data.

Two-Tailed Test

A two-tailed test is used when the alternative hypothesis does not specify a direction of the effect, testing for differences in both directions (i.e., whether the population parameter is either less than or greater than a certain value). It examines the possibility of extreme values in both tails of the distribution under the null hypothesis.

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