If we are interested in performing a one-tailed, upper-tail hypothesis test about a population variance where the level of significance is .01 and the sample size is n = 25, the critical chi-square value to be used is 42.9798.

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For a one-tailed, upper-tail hypothesis test about a population variance with a significance level of .01 and a sample size of n = 25, degrees of freedom would be n - 1 = 24. Looking up the critical value in a chi-square distribution table for 24 degrees of freedom at the .01 significance level indeed gives a critical value of approximately 42.9798.

If We Are Interested in Performing a One-Tailed, Upper-Tail Hypothesis