The statement µ 3 is an example of a ______.
A) directional (one-tailed) null hypothesis
B) directional (one-tailed) alternative hypothesis
C) non-directional (two-tailed) null hypothesis
D) non-directional (two-tailed) alternative hypothesis

Question

The statement µ > 3 is an example of a ______.
A) directional (one-tailed) null hypothesis
B) directional (one-tailed) alternative hypothesis
C) non-directional (two-tailed) null hypothesis
D) non-directional (two-tailed) alternative hypothesis

Quizplus · Accepted Answer

The statement µ > 3 is a directional (one-tailed) alternative hypothesis, because it specifies a direction of difference (greater than) between the population mean (µ) and a hypothesized value (3). It does not propose that the population mean could be either higher or lower than 3, but only higher than 3. Therefore, it is not a null hypothesis, which assumes no difference or equivalence between the population mean and a hypothesized value. It is also not a non-directional (two-tailed) alternative hypothesis, which proposes that the population mean could differ from the hypothesized value in either direction (higher or lower) without specifying a preferred direction.

The Statement µ > 3 Is an Example of a ______