i. The minimum computed value of chi-square is one. ii. The chi-square distribution is a positively skewed distribution.
iii. The lowest level of data for which the chi-square goodness-of-fit test is appropriate is the nominal level.
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 minimum value of chi-square can actually be zero, not one, if observed frequencies perfectly match expected frequencies. The chi-square distribution is indeed positively skewed, especially with a low degree of freedom, and it becomes less skewed as the degrees of freedom increase. The chi-square goodness-of-fit test is indeed appropriate for nominal level data, as it compares observed frequencies to expected frequencies in categorical data.

I the Minimum Computed Value of Chi-Square Is One