Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below.
Statement I:If we accept a hypothesis when it should be rejected, we say a type I error has been made.
Statement II:If we reject a hypothesis when it should be accepted, we say a type II error has been made.
ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false ✓ Correct
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true
Correct answer: (B) Both Statement I and Statement II are false
Explanation
Accepting a hypothesis that should be rejected is a Type II error, and rejecting one that should be accepted is a Type I error, so both statements are false.
A Type I error is the false rejection of a true null hypothesis, the false positive.
A Type II error is the false acceptance of a false null hypothesis, the false negative.
Statement 1 mislabels a Type II situation as Type I.
Statement 2 mislabels a Type I situation as Type II.
The probability of a Type I error equals the chosen level of significance, alpha.
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