i. To set up a decision rule, the sampling distribution is divided into two regions-a region of non-rejection and a region where the null hypothesis is rejected. ii. A test statistic is a value determined from sample information collected to test the null hypothesis.
iii. If the null hypothesis is true and the researchers do not reject it, then a correct decision has been made.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

All three statements are correct and integral parts of the hypothesis testing process. The first statement defines the critical regions used to make decisions. The second statement defines the calculation used to determine the position of the test statistic within those regions. The third statement is a fundamental understanding in hypothesis testing that a correct decision is made when the null hypothesis is true and not rejected.

I to Set Up a Decision Rule, the Sampling Distribution