Question

If the alternative hypothesis has a not equals ( $\neq$ ) symbol, you know to use which type of test?

   If the alternative hypothesis has a not equals ( $\neq$ ) symbol, you know to use which type of test?

Introductory Business Statistics

Introductory Business Statistics

Alexander Holmes,… 1st Edition

Chapter 9, Problem 41

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Solved by Expert Lucas Everson

02/23/2020

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We have an alternative hypothesis with a not equals (≠) symbol. Show more…

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If the alternative hypothesis has a not equals ( $\neq$ ) symbol, you know to use which type of test?

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Key Concepts

Alternative Hypothesis

The alternative hypothesis indicates that there is an effect or difference, asserting that the parameter under investigation does not equal a specific value. This hypothesis is used to challenge the null hypothesis and provides a basis for concluding that the observations are not simply due to chance.

Two-Tailed Test

A two-tailed test is employed when the alternative hypothesis is non-directional, meaning it does not specify whether the parameter is greater or smaller than the hypothesized value. The test evaluates deviations on both sides of the distribution, splitting the significance level across both tails, and is suitable when any significant difference, regardless of direction, is of interest.

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