A chi-square test of independence is a one-tailed test. The reason is that:
A)we are testing whether the frequencies exceed their expected values.
B)we square the deviations, so the test statistic lies at or above zero.
C)hypothesis tests are one-tailed tests when dealing with sample data.
D)the chi-square distribution is positively skewed.

Question

Quizplus · Accepted Answer

The chi-square test statistic is always non-negative because it is calculated by squaring the differences between observed and expected frequencies. This means the test statistic can only take on values at or above zero, making the chi-square distribution one-sided.

A Chi-Square Test of Independence Is a One-Tailed Test