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Topic:
Null Hypothesis Vs. Alternative Hypothesis
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What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?
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Hypothesis testing
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The distinction between having evidence to support an alternative hypothesis and failing to reject a null hypothesis?
Failing to discard a null hypothesis occurs when the p-value in a statistical test of association is greater than the significance level (usually denoted α). Failing to reject simply means ‘accepting’ the null hypothesis of the test, which is expected to affirm that there is no significant association between the variables under investigation. This implies that the p-value is not significant (> α) and does not fall within the inclusion region if plotted on a one or two tail chart. For example, in a test comparing the means of two variables, μ1 and μ2, the null hypothesis is H0: μ1 ≠ μ2 and the al...
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