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) All statements are false

Question

Quizplus · Accepted Answer

The alternative hypothesis in a goodness-of-fit test states there is a difference between observed and expected frequencies. For a contingency table with three levels of income and two genders, the degrees of freedom are (3-1)*(2-1) = 2. Statement (i) is incorrect because if the chi-square value is less than the critical value, we fail to reject the null hypothesis.

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