Statistics › Section I · Hypothesis testing with one sample › Topic I.4
Rare events, p-values, and the decision
The courtroom has heard the claim and measured the evidence: the data sit z standard errors from what the null predicts. The p-value converts that distance into surprise - how often would a result this extreme happen if the null were true? - and rare results indict assumptions.
In this topic
- The surprise meter
- The p-value, defined
- What the p-value is not
- Computing p: three forms
- Worked example: the cereal test, concluded
- Worked example: the senator's poll, concluded
- The decision and its grammar
- Choosing alpha, once, before the data
- Common mistakes to avoid
- Key takeaways
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