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Given below are two statements. Statement I: If a hypothesis is accepted when it should be…

Paper 1 · Research Aptitude UGC NET December 2021 June 2022 (23.09.2022) Shift-II
Given below are two statements. Statement I: If a hypothesis is accepted when it should be rejected, then a type I error is made. Statement II: If a hypothesis is rejected when it should be accepted, then a type II error is made. In the light of the above statements, choose the most appropriate answer from the options given below.
  • Statement I: Accepting a hypothesis that should be rejected is called a type I error.
  • Statement II: Rejecting a hypothesis that should be accepted is called a type II error.
ABoth Statement I and Statement II are correct
BBoth Statement I and Statement II are incorrect ✓ Correct
CStatement I is correct but Statement II is incorrect
DStatement I is incorrect but Statement II is correct
Correct answer: (B) Both Statement I and Statement II are incorrect — The answer is that both statements are incorrect.
Explanation
The answer is that both statements are incorrect.
A type I error is rejecting a null hypothesis that is actually true, not accepting one that should be rejected.
So the description in Statement I is reversed, making it incorrect.
A type II error is failing to reject a null hypothesis that is actually false, not simply rejecting a true one to be accepted.
So the description in Statement II is also stated wrongly, making it incorrect.
Thus both statements describe the errors incorrectly.
So the answer is that both statements are incorrect.

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