What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?

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READ Textbook: Statistics: Unlocking the Power of Data, Sections 5.2, 6.1D, 6.1-CI, 6.1-HT, 6.4-D, 6.4-HT, and 9.1

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COMPLETE JOURNAL ENTRY

Just because two or more values are different does not mean that they are different in a statistically significant manner. Researchers rely on the p values that are generated for each of their statistical tests to determine significance. If the p value is larger than the alpha, then they are not different in a statistically significant manner, and therefore the values are not considered different. In this journal activity, consider these concepts in terms of the differences between null and alternative hypotheses, and discuss this question: What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?

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