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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