Given below are two statements: Statement I: In research, when the 'Null…

2020

Given below are two statements:

Statement I: In research, when the 'Null Hypothesis' is rejected, it offers the scope for accepting the alternative or substantive research hypothesis.

Statement II: When the Null Hypothesis is rejected, there will be chances of committing a 'Beta' rather than an 'Alpha' error.

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

  1. A.

    Both Statement I and Statement II are correct

  2. B.

    Both Statement I and Statement II are incorrect

  3. C.

    Statement I is correct but Statement II is incorrect

  4. D.

    Statement I is incorrect but Statement II is correct

Attempted by 1 students.

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Correct answer: C

Correct answer: Statement I is correct, but Statement II is incorrect.

Statement I (correct): The null hypothesis (H0) states that there is no effect or no difference. When a statistical test rejects the null hypothesis, the result provides the basis for accepting the alternative (research/substantive) hypothesis. So rejecting H0 indeed offers the scope for accepting the alternative hypothesis.

Statement II (incorrect): Errors are tied to the decision made. A Type I error (alpha, α) is committed when a TRUE null hypothesis is REJECTED (a false positive). A Type II error (beta, β) is committed when a FALSE null hypothesis is NOT rejected (a false negative). Therefore, when the null hypothesis is rejected, the risk involved is the Alpha (Type I) error, NOT the Beta (Type II) error. The statement reverses the two error types, so it is incorrect.

Hence Statement I is correct and Statement II is incorrect.

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