When the null hypothesis is true and n is greater than or equal to 5 per group,the test statistic is approximately distributed as a chi-square distribution.

Question

When the null hypothesis is true and n is greater than or equal to 5 per group,the test statistic  is approximately distributed as a chi-square distribution.

Quizplus · Accepted Answer

This statement is correct according to the chi-square test for independence or homogeneity. When the null hypothesis is true and the sample size is sufficiently large (n >= 5 per group), the test statistic calculated using the chi-square test is approximately distributed as a chi-square distribution with degrees of freedom equal to the number of categories minus 1.

When the Null Hypothesis Is True and N Is Greater