i. The sum of the expected frequencies in a goodness-of-fit test need not equal the sum of the observed frequencies. ii. A goodness-of-fit test is a nonparametric test involving a set of observed frequencies and a corresponding set of expected frequencies.
iii. For a goodness-of-fit test, the following are possible null and alternate hypotheses; Null: Sales are uniformly distributed among the five locations. Alternate: Sales are not uniformly distributed among the five locations.
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

The sum of the expected frequencies in a goodness-of-fit test must equal the sum of the observed frequencies, making statement (i) incorrect. A goodness-of-fit test is indeed a nonparametric test that compares observed frequencies to expected frequencies, making statement (ii) correct. The null and alternate hypotheses provided in statement (iii) are typical for a goodness-of-fit test, making it correct as well.

I the Sum of the Expected Frequencies in a Goodness-Of-Fit