**Educational Content on Hypothesis Testing****Understanding Hypothesis Testing: Decision Rule***Question 8:* If the test statistic lies in a rejection region, we __________ the null hypothesis. Otherwise, we __________ the null hypothesis.In hypothesis testing, determining whether to reject or fail to reject the null hypothesis depends on the test statistic's position relative to the rejection region. 1. **Rejecting the Null Hypothesis:** - **Condition:** If the test statistic falls within a pre-determined rejection region (usually established by the significance level, e.g., 0.05), we reject the null hypothesis. - **Interpretation:** This decision suggests that there is sufficient statistical evidence to support the alternative hypothesis.2. **Failing to Reject the Null Hypothesis:** - **Condition:** If the test statistic does not fall within the rejection region, we fail to reject the null hypothesis. - **Interpretation:** This indicates insufficient evidence to support the alternative hypothesis, essentially suggesting the data does not show a significant effect or difference.This approach is foundational in the application of statistical methods to test assumptions and validate scientific inquiries.

Answered: 8. If the test statistic lies in a…

Math

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8. If the test statistic lies in a rejection region, we hypothesis. Otherwise we rejest the null hypothesis. the null

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Test Statistics follows certain probability distribution.

We can use the distribution of test Statistics for testing of hypothesis.

We devide whole sample space in acceptance region and rejection region using this distribution.

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