"The frequentist toolkit is powerful and honest about its preconditions. Citizens who use it without checking the preconditions are using a powerful tool dishonestly."
What This Track Established
Six lessons, one toolkit. Confidence intervals (long-run hit rates of an interval-construction procedure), hypothesis tests (a structured procedure for asking 'is the evidence strong enough to overturn the default?'), p-values (P(data | null), not P(null | data)), p-hacking (selection bias inside the analysis pipeline), and the Type I / Type II asymmetry (the policy decision baked into every test). Together these are the frequentist workshop.
Every tool rests on the same preconditions the CLT named: independence and finite variance, plus large enough N for the bell to apply. When these hold, the tools are well-defined and operationally useful. When they don't, the tools still output numbers — but the numbers are arithmetic without scientific meaning.
The Bridge to Track 06
Track 06 turns the hypothesis-test frame into its citizen-relevant application: the courtroom. There:
- H₀ = innocent.
- H₁ = guilty.
- 'Beyond reasonable doubt' = α set very, very small.
- The Type I / Type II asymmetry is at maximum strength — convicting the innocent is catastrophic; acquitting the guilty is acceptable cost.
The 'why are they letting that monster walk?' frame fixates on Type II error (the guilty going free) and is blind to the deliberate, principled Type I aversion the system was built around. Once the asymmetry is named, the complaint dissolves. The system did what it was designed to do.
The Bridge to Track 08
Track 08 (Bayesian Frame) takes the same hypothesis-testing puzzle and runs it through a Bayesian engine. P(guilty | evidence) becomes computable, but only with a prior P(guilty) — which the legal system carefully avoids stating explicitly because it would be politically toxic. The frequentist frame avoids the prior problem by refusing to compute P(guilty | evidence) at all; the Bayesian frame embraces it and forces honesty about priors. Both frames are legal; the dialog between them is the citizen's skill.