Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: A proposition is a statement about observable phenomena (concepts) that may be judged as true or false.
Reason R: When a proposition is formulated for empirical testing, it is called a hypothesis.
In light of the above statements, choose the most appropriate answer from the options given below
Both A and R are correct and R is the correct explanation of A
The question asks us to evaluate two statements, one labelled as Assertion A and the other as Reason R, concerning the concepts of propositions and hypotheses. We need to determine if these statements are individually correct and if Reason R correctly explains Assertion A.
Assertion A states: "A proposition is a statement about observable phenomena (concepts) that may be judged as true or false."
Based on the standard definition of a proposition in the context of logic and research methodology, Assertion A is a correct statement. It accurately describes the nature of a proposition as a statement that can be evaluated for truth or falsity, often involving concepts related to observable aspects of reality.
Reason R states: "When a proposition is formulated for empirical testing, it is called a hypothesis."
Reason R accurately describes a hypothesis as a proposition that is specifically prepared and structured in a way that allows it to be subjected to empirical testing. Therefore, Reason R is also a correct statement.
Now we consider if Reason R is the correct explanation for Assertion A.
Reason R provides a clear context for one of the primary uses of propositions in research methodology – the formulation of testable hypotheses. It explains *what* a proposition becomes *when* it is prepared for a specific purpose (empirical testing). Thus, Reason R serves as a correct explanation for how propositions function in the context of empirical research and hypothesis formation.
Both Assertion A and Reason R are correct statements. Reason R explains how a proposition, as defined in A, is used to create a hypothesis for empirical testing.
| Concept | Description | Relationship |
|---|---|---|
| Proposition (Assertion A) | A statement about observable phenomena (concepts) that can be judged true or false. | A hypothesis is a type of proposition specifically formulated for empirical testing (Reason R explains how a proposition becomes a hypothesis for research). |
| Hypothesis (Reason R) | A proposition formulated specifically for empirical testing. |
| Term | Key Characteristic | Example |
|---|---|---|
| Proposition | A statement that can be true or false. | The sky is blue. (Can be judged true or false) |
| Hypothesis | A proposition formulated for empirical testing. Often predicts a relationship or outcome. | Students who study more hours will get higher test scores. (Can be tested empirically) |
Empirical testing is a core component of the scientific method. It involves gathering data through observation, measurement, or experimentation to evaluate the validity of a hypothesis. A hypothesis must be stated in a way that makes it possible to collect evidence that would either support or refute it. This is why Reason R specifies that a hypothesis is a proposition *formulated for empirical testing*. Not all propositions are testable empirically (e.g., philosophical or purely mathematical statements), but those used as hypotheses in empirical sciences must be.
Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.
Assertion (A):- Research Hypothesis (H1) cannot be directly verified.
Reasons (R):- Null Hypothesis (H0) is helpful in making a claim by the researcher that his/her findings are not fortuitous or by chance.
In the light of the above statements, choose the most appropriate answer from the options given below:
When a researcher rejects a true 'Null Hypothesis' (H 0) in his/her study and accepts the 'Alternate Hypothesis' (H 1), what type of error is likely?
Given below are two statements
Statement I: The context of discovery involves non‐rational, intuitive processes while the context of justification is based on logical processes.
Statement II: The process of hypothesis generation doesn't strictly follow rigorous logical reasoning.
In light of the above statements, choose the most appropriate answer from the options given below
Match List I with List II :
List I | List I | ||
(A) | Chi-square | (I) | Is used to determine the significance between group means. |
(B) | t-test | (II) | A procedure to decompose variation into two or more independent variables. |
(C) | ANOVA | (III) | Analyses the relationship between two or more independent variables and a single dependent variable. |
(D) | Multiple regression | (IV) | Produces a value that reflects the relationship between expected and observed frequencies. |
Some of the types of hypothesis are as follows :
A. Descriptive
B. Null
C. Confounding
D. Intervening
E. Explanatory (Causal)
Choose the correct answer from the options given below :