In the goodness-of-fit chi-square test,the rule of thumb that the expected frequency for each category should be at least 5 exists because:
A) the chi-square distribution is not symmetrical when the expected frequency of a category is less than 5.
B) the test statistic for the chi-square distribution is based on the assumption that the expected frequency of each category is greater than 5.
C) the chi-square distribution is negatively skewed when the expected frequency of a category is less than 5.
D) the chi-square distribution is continuous while the counts on which the test statistic are based are discrete.
E) the chi-square distribution is positively skewed when the expected frequency of a category is less than 5.

Question

Quizplus · Accepted Answer

The chi-square distribution is continuous, and when expected frequencies are too low, the approximation to the discrete distribution of counts becomes less accurate.

In the Goodness-Of-Fit Chi-Square Test,the Rule of Thumb That the Expected