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Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Two-tailed hypothesis is specific about the direction of a difference or relationship while a one-tailed hypothesis leave open the direction of the difference or relationship.

Reason (R) : Small sample sizes often make it impossible to determine when a null hypothesis should be rejected.

In the light of the above statements, choose the most appropriate answer from the options given below:

The correct answer is
(A) is not correct but (R) is correct

Hypothesis Direction: Assertion (A) Analysis

Assertion (A) states that a two-tailed hypothesis is specific about direction, while a one-tailed hypothesis leaves direction open. This is incorrect.

  • A one-tailed hypothesis specifies a direction (e.g., greater than, less than).
  • A two-tailed hypothesis does not specify a direction; it only indicates a difference or relationship exists (e.g., not equal to).

Therefore, Assertion (A) is incorrect.

Null Hypothesis Rejection: Reason (R) Analysis

Reason (R) states that small sample sizes often make it impossible to determine when a null hypothesis should be rejected. This is correct.

  • Small sample sizes generally result in lower statistical power.
  • Lower power means it is harder to detect a statistically significant effect, even if one truly exists.
  • Consequently, it becomes more difficult to reject the null hypothesis with small samples.

Therefore, Reason (R) is correct.

Conclusion

Based on the analysis, Assertion (A) is incorrect, and Reason (R) is correct.

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Important Questions from Hypothesis - Teaching

  1. Criteria for Hypotheses construction are

    A. It should describe one issue only.
    B. It should describe many issues.
    C. It should specify variables between which the relationship is to be established.
    D. It should be specific and precise.
    E. It should be empirically testable, whether it is right or wrong.

    Choose the correct answer from the options given below:
  2. Which of the following statements about hypothesis are True ?
    A. Hypothesis is a proposition that is stated in a testable form
    B. It predicts a relationship between two or more variables
    C. It is essential to have a hypothesis in a research study
    D. Null hypothesis is a hypothesis of no difference
    Ε. Hypothesis brings clarity, specificity and focus to a study
    Choose the most appropriate answer from the options given below :
  3. Identify the sources of hypothesis formulation.
    A. Sampling method used for research
    B. Reports of earlier research
    C. Beliefs prevailing in the area of selected problem
    D. Prior-experience of researcher in the area of selected problem
    E. Type of population
    Choose the most appropriate answer from the options given below :
  4. Which of the following are the essential characteristics of good research hypothesis?

    A. It should be clear and precise.
    B. It should be testable.
    C. It should be based on ethical consideration.
    D. It should be stated in general terms without specifics.
    E. It should indicate a relationship between variables.

    Choose the correct answer from the options given below:
  5. According to Wimmer and Dominick, a good research hypothesis should meet which of the following criteria?

    A. It should contest current knowledge in the area
    B. It should follow logical consistency
    C. It should be in its most parsimonious form
    D. It should be testable
    E. It should be compatible with current knowledge in the area

    Choose the correct answer from the options given below:
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