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GATE 2026 XH5 (Psychology) – Question 54

Research Methods and Statistics · Designing Research: Research problems, purpose statement, variables and operational definitions, hypothesis, sampling · 2 marks · Multiple select

Consider the following Null-Hypothesis: “The mean of Treatment Group is not different from that of the Control Group”. When this is not accepted, which of the following is/are true?

  1. The probability of wrong rejection of the Null-Hypothesis is still there, but relatively very low.
  2. Wrong rejection of the Null-Hypothesis is absolutely not possible.
  3. Level of significance ($\alpha$) must be less than or equal to 0.05.
  4. Level of significance ($\alpha$) may be greater than or equal to 0.01.

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Correct answer: (A) The probability of wrong rejection of the Null-Hypothesis is still there, but relatively very low.; (D) Level of significance ($\alpha$) may be greater than or equal to 0.01.

Explanation

Rejecting the null hypothesis can still be a Type I error, but its probability is held small by the significance level (A). It is never zero, so B is false. The level of significance is a choice, not a rule that it must be at most 0.05, so C is false, and values such as 0.01 or 0.05 are both allowed, so D is true.