Practice question · Sort into groups
Sort each outcome of a hypothesis test.
Groups: Type I error · Type II error · Correct decision
- Fail to reject H0 when H0 is actually true
- Reject H0 when H0 is actually true
- Reject H0 when H0 is actually false
- Fail to reject H0 when H0 is actually false
Hints
- Cross the decision (reject or not) with the unknown truth (H0 true or false).
- A Type I error is a false positive; a Type II error is a false negative.
Show the answer
Type I error: Reject H0 when H0 is actually true
Type II error: Fail to reject H0 when H0 is actually false
Correct decision: Reject H0 when H0 is actually false, Fail to reject H0 when H0 is actually true
Why
Two of the four combinations are correct decisions and two are errors. Type I is claiming an effect that is not there, with probability alpha; Type II is missing one that is. Lowering alpha guards against the first at the cost of the second.
Practise Hypothesis Testing
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