AP Statistics / Unit 3: Inference for Categorical Data: Proportions
3.8 Potential Errors When Performing Tests
Notes
- Type I error: rejecting a true $H_0$. Probability $=\alpha$.
- Type II error: failing to reject a false $H_0$.
- Power $=1-P(\text{Type II})$; increases with larger $n$ or larger $\alpha$.
Practice
A Type I error is:
A false alarm.
Increasing the sample size:
More data, more ability to detect effects.
$P(\text{Type I error})$ equals:
We set it with $\alpha$.
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