Hypothesis Matching Solution

This section provides a clear matching of the hypothesis types listed in LIST-I with their corresponding definitions from LIST-II, based on the provided correct answer.

Correct Matching Derivation

The question requires matching four types of hypotheses with their definitions. The correct matches are determined as follows:

• A. Null Hypothesis matches II. Statement in which there is no relationship between the two variables.

  The Null Hypothesis ($H_0$) is a statement of no effect or no relationship between variables in statistical testing.

• B. Alternate Hypothesis matches IV. Statement in which there is some statistical relationship between the variables.

  The Alternate Hypothesis ($H_a$ or $H_1$) posits that a relationship or effect exists, contradicting the null hypothesis.

• C. Directional Hypothesis matches I. Hypothesis that aims to predict the direction of the relationship between two variables.

  Directional hypotheses specify the anticipated direction (e.g., positive or negative) of the relationship.

• D. Non-Directional Hypothesis matches III. Hypothesis that predicts a relationship between the two variables. However the nature or direction of relationship is not defined.

  Non-Directional hypotheses predict that a relationship exists but do not specify its direction.

Therefore, the correct option reflects the matching: A-II, B-IV, C-I, D-III.