One – tailed test is a statistical test based on the presumption that the hypothesis in question is:
(A) asymmetrical
(B) linear
(C) non – linear
(D) directional
Correct Ans: (D)
Explanation:
A one-tailed test is a statistical method used to evaluate hypotheses that specify a particular direction of effect. Researchers use this test when they predict that one variable will either increase or decrease in relation to another, but not both. For example, a study might hypothesize that a new teaching method improves student performance compared to the traditional method.
This test focuses on the directional aspect of the hypothesis. It places all the statistical significance on one end (tail) of the distribution. If the observed data aligns with the predicted direction, researchers can reject the null hypothesis.
The one-tailed test is more powerful than a two-tailed test in detecting directional effects. However, it requires careful application since it assumes that deviations in the opposite direction are irrelevant. Misusing it can lead to biased results.
In conclusion, the one-tailed test plays a significant role in statistical analysis by testing hypotheses with clear directional predictions. Its proper use ensures accurate and meaningful conclusions in research.