When a researcher rejects the Null Hypothesis (H₀) in his/her study and…

2020

When a researcher rejects the Null Hypothesis (H₀) in his/her study and accepts an alternate Hypothesis (H₁), what type of error is likely?

  1. A.

    Type I error

  2. B.

    Type II error

  3. C.

    Both Type I and Type II error

  4. D.

    Neither Type I nor Type II error

Show answer & explanation

Correct answer: A

CONCEPT

In hypothesis testing, a Type I error means rejecting a true null hypothesis. A Type II error means failing to reject the null hypothesis when the alternative is actually true.

So the distinction depends on the decision about H0: rejection points to Type I risk; non-rejection points to Type II risk.

APPLICATION

Here the researcher rejects H0 and accepts H1. In exam shorthand, that decision is the false-positive kind of error: concluding that an effect exists when the null position should have been retained.

CONTRAST

  • Type II error describes missing an effect by not rejecting H0, so it does not fit a stem where H0 has been rejected.

  • Both Type I and Type II error mixes two opposite decision errors, while the stem describes one decision path.

  • Neither Type I nor Type II error would deny the standard hypothesis-testing classification, which is not appropriate here.

RESULT

The likely error is Type I error.

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