i. In the goodness-of-fit test, the chi-square distribution is used to determine how well an observed set of observations "fits" an "expected" set of observations.
Ii) The sum of the expected frequencies and the sum of the observed frequencies must be equal.
Iii) If the computed value of chi-square is less than the critical value, reject the null hypothesis at a predetermined level of significance.
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

Statement (i) is correct as the chi-square distribution is used in goodness-of-fit tests. Statement (ii) is correct because the total of observed and expected frequencies should match. Statement (iii) is incorrect; if the computed chi-square is less than the critical value, we fail to reject the null hypothesis.

I in the Goodness-Of-Fit Test, the Chi-Square Distribution Is Used