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. If there are only two cells in a goodness-of-fit test, we should expect 5 or more frequencies.
iii. Chi-square goodness-of-fit test is the appropriate statistical test to use when you wish to determine how well an observed set of data fits an expected set of data.
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 chi-square value is less than the critical value, we fail to reject the null hypothesis. Statement (ii) is correct as the rule of thumb for chi-square tests is that each expected frequency should be 5 or more. Statement (iii) is correct as the chi-square goodness-of-fit test is used to determine how well observed data fits expected data.

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