The command carried ~95 lines of private inference math (Wilson, Fisher,
Newcombe, pooled z, log-factorials), so it changed for two unrelated reasons
- presentation and statistical method - and the math was reachable only through
brittle toContain() assertions on rendered output. Move it to
App\Services\Stats\ProportionSignificance (matching the repo's 'compute in
Services/Stats, present in the command' convention) with a BinomialProportion
value object for the (successes, trials) clump, memoise the log-factorials, and
add unit tests that pin the exact interval and p-value numbers. Behaviour of the
command is unchanged.
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