i. A goodness-of-fit test is a nonparametric test involving a set of observed frequencies and a corresponding set of expected frequencies. ii. 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.
iii. In the goodness-of-fit test, the chi-square distribution is used to determine how well an observed set of observations "fits" an "expected" set of observations.
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) defines a goodness-of-fit test correctly. 
Statement (ii) presents a correct set of null and alternative hypotheses for a goodness-of-fit test. 
Statement (iii) is also correct, as the chi-square distribution is commonly used to perform goodness-of-fit tests. Therefore, all three statements are correct.

I a Goodness-Of-Fit Test Is a Nonparametric Test Involving a Set