Which of the following statements about the Chi-square test is True?
A) Chi-square analysis compares the observed frequencies of responses with the expected frequencies.
B) When the differences between observed and expected frequencies are large, one must accept the null hypothesis.
C) The larger the Chi-square, the less likely it is that the two variables that are measured are related.
D) The expected frequencies in Chi-square cannot be calculated theoretically.
E) Categorical data from questions about sex, education, or other nominal variables cannot be tested with this statistic.

Question

Quizplus · Accepted Answer

The Chi-square test is used to compare the observed frequencies of responses with the expected frequencies. It determines whether any significant difference exists between the two sets of frequencies. Option B is incorrect because if the differences between observed and expected frequencies are large, the null hypothesis is rejected. Option C is also wrong because the larger the Chi-square value, the more likely it is that the two variables measured are related. Option D is incorrect because expected frequencies can be calculated theoretically using probability distributions. Option E is wrong because categorical data can be tested using Chi-square, which is a non-parametric method.

Which of the Following Statements About the Chi-Square Test Is