i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type II error in which the null hypothesis is not rejected when it should have been rejected. ii. A test statistic is a value determined from sample information collected to test the null hypothesis.
iii. The region or area of rejection defines the location of all those values that are so large or so small that the probability of their occurrence under a true null hypothesis is rather remote.
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. Type I and Type II errors are always possible when conducting hypothesis testing. The test statistic is a value calculated from the sample data to determine the likelihood of the null hypothesis being true. The region of rejection is the area in the tails of the distribution where the test statistic is large or small enough to reject the null hypothesis.

I Two Types of Possible Errors Always Exist When Testing