i. chi-square test statistic used in a goodness-of-fit test has k - 2 degrees of freedom.
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) All statements are false

Question

i. chi-square test statistic used in a goodness-of-fit test has k - 2 degrees of freedom.
 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) All statements are false

Quizplus · Accepted Answer

The chi-square test statistic in a goodness-of-fit test has k - 1 degrees of freedom, not k - 2. A goodness-of-fit test is indeed a nonparametric test involving observed and expected frequencies, and the given null and alternate hypotheses are appropriate for such a test.

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