i. If the computed value of chi-square is less than the critical value, reject the null hypothesis at a predetermined level of significance. ii. The alternative hypothesis states that there is a difference between the observed frequencies and the expected frequencies in a goodness-of-fit test.
iii. There are 2 degrees of freedom for a contingency table classifying three levels of income with each gender.
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

- Statement i is incorrect because if the computed value of chi-square is less than the critical value, we fail to reject the null hypothesis, not reject it.- Statement ii is correct as it accurately describes the purpose of the alternative hypothesis in a goodness-of-fit test.- Statement iii is correct because the degrees of freedom for a contingency table are calculated as (number of rows - 1) * (number of columns - 1). For three levels of income (3 rows) and each gender (2 columns), the degrees of freedom are (3-1)*(2-1) = 2.

I If the Computed Value of Chi-Square Is Less Than