i. There is not one, but a family of chi-square distributions. There is a chi-square distribution for 1 degree of freedom, another for 2 degrees of freedom, another for 3 degrees of freedom, and so on. ii. The shape of the chi-square distribution depends on the size of the sample.
iii. Small differences between observed and expected frequencies are due to chance.
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 chi-square distribution indeed varies with degrees of freedom, not the sample size, and small differences between observed and expected frequencies can indeed be attributed to chance. The shape of the chi-square distribution is determined by the degrees of freedom, not directly by the sample size.

I There Is Not One, but a Family of Chi-Square