The Chi-square distribution is skewed to the right and the rejection region is always at the right-hand tail of the distribution.

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The Chi-square distribution is indeed skewed to the right and the rejection region, which represents extreme or unlikely outcomes, is located at the upper or right-hand tail of the distribution. This is because the Chi-square test is usually used to assess whether the observed data deviate significantly from the expected data, and larger values of the test statistic (Chi-square value) indicate stronger evidence against the null hypothesis of no difference or association. Therefore, it is more likely to reject the null hypothesis when the Chi-square value is far away from the mean or expected value of the distribution, which occurs in the upper tail of the distribution.

The Chi-Square Distribution Is Skewed to the Right and the Rejection