Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

A question about hypothesis testing (stats)?

Do you reject the null hypothesis if the test statistic is equal to the critical value? Or do you only reject if the test statistic is more extreme than the CV?

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  • 3 weeks ago

    We reject the null hypothesis if the test statistic is more extreme than the CV. Note that it would be almost impossible for the test statistic to exactly equal the critical value, so the 'boundary' issue of "whether or not to reject the null hypothesis if the test statistic equals the CV" doesn't practically come up. Most books will just say , reject null hypothesis if test statistic is more (strictly more) extreme than the critical value. There is no harm in saying , "reject null hypothesis if test statistic is equal to or more extreme than the CV" because practically the test statistic will never equal to the critical value. Critical values and test statistics are usually irrational numbers anyway.

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