Math challenges › Data

The survey margin of error

A 400-person survey gives 56% "yes". Estimate the approximate 95% margin of error (1/√n rule) and the resulting interval.

The twist: you do not solve this yourself. You write the PROMPT you would give an AI to solve it reliably. Grace runs your prompt, checks the AI's answer against the verified result, and scores the rigor of your prompt: did you ask for step-by-step reasoning, unit checks, a sanity check on the result?

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