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) All statements are false

Question

Quizplus · Accepted Answer

All three statements are correct. A goodness-of-fit test is indeed a nonparametric test comparing observed and expected frequencies (i). The null and alternate hypotheses in (ii) are correctly stated for a goodness-of-fit test. The chi-square distribution is used in such tests to assess the fit between observed and expected frequencies (iii).

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