The only way the chi-squared test statistic can be zero is if the observed frequencies are all exactly the same as the expected frequencies.

Question

Quizplus · Accepted Answer

This statement is true. The chi-squared test statistic is calculated by comparing the observed frequencies with the expected frequencies, and a difference between the two will result in a nonzero test statistic. If the observed frequencies are exactly the same as the expected frequencies, there will be no difference and the test statistic will be zero.

The Only Way the Chi-Squared Test Statistic Can Be Zero