i. Nonparametric tests of hypotheses, which are also called distribution free tests, require the population to be normally distributed. ii. The computed value of chi-square is always positive because the difference between the observed frequencies and the expected frequencies are squared.
iii. The shape of the chi-square distribution changes for each number of degrees of freedom.
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

(i) is false as nonparametric tests do not assume normal distribution.
(ii) is true as the squared differences between observed and expected frequencies are always positive.
(iii) is true as the shape of the chi-square distribution changes with the degrees of freedom.

I Nonparametric Tests of Hypotheses, Which Are Also Called Distribution