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Logic & science2 MINBrief fileEstablished evidence

Type I and Type II Errors

A test can raise a false alarm or miss a real signal; reducing both comes at a cost.

01 / SUMMARY

In short

In hypothesis testing, Type I means rejecting a true null; Type II means failing to reject a false null. Their probabilities and consequences depend on the specific decision and scenario.

03 / SCENE

In the wild

A smoke alarm sounding without fire gives a false alarm; staying silent during a fire makes the opposite error.

04 / LIMIT

The limit

Type I is not always the graver mistake, and non-rejection does not prove there is no effect.

FINAL NOTE

What remains

Define which error matters more before setting a decision threshold.