Asked by misser focks on May 03, 2024
Verified
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
Directional Hypothesis
A hypothesis that specifies the expected direction of the relationship between variables, indicating an increase or decrease.
Null Hypothesis
A statement that indicates no effect or no difference, and is the hypothesis that researchers seek to nullify or disprove through statistical analysis.
Alternative Hypothesis
An assumption that suggests there is a significant difference or effect, contrary to the null hypothesis.
- Compare and contrast between one-tailed and two-tailed hypothesis formulations.
Verified Answer
KR
Keimoni RamseyMay 03, 2024
Final Answer :
B
Explanation :
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.
Learning Objectives
- Compare and contrast between one-tailed and two-tailed hypothesis formulations.