The test statistic used to test hypotheses about the population variance is given by $\chi$² = (n-1)s² / $\sigma$²,which is chi-squared distributed with n -1 degrees of freedom when the population random variable is normally distributed with variance equal to $\sigma$².

Question

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This statement correctly describes the test statistic used for testing hypotheses about population variance. The test statistic follows a chi-squared distribution with n - 1 degrees of freedom when the population variable is normally distributed with variance equal to the value under the null hypothesis.

The Test Statistic Used to Test Hypotheses About the Population χ\chiχ

The Test Statistic Used to Test Hypotheses About the Population $\chi$