i. Chi-square test statistic used in a goodness-of-fit test has k - 1 degrees of freedom. ii. The chi-square goodness-of-fit test can be applied if there are equal or unequal expected frequencies.
iii. For a goodness-of-fit test, the number of degrees of freedom is determined by k - 2, where k is the number of categories.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Statement (i) is true; Statement (ii) is also true; Statement (iii) is incorrect. The number of degrees of freedom for the goodness-of-fit test is determined by k - 1, not k - 2. Therefore, only choice (B) accurately reflects the statements.

I Chi-Square Test Statistic Used in a Goodness-Of-Fit Test Has