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Explaining P-Values to Managers

Structured brief

Communicate statistical results without jargon.

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Help me explain p-values and confidence intervals to managers. Result to explain: [RESULT]. Decision: [DECISION]. Audience knowledge: [AUDIENCE].

Write a 200-word explanation in plain language, an analogy that is accurate, a version with a diagram described in text, and three common misinterpretations with corrections. Provide wording for how to say "not significant" without implying "no effect". Add five likely questions from managers with answers, and a one-slide summary. Keep it honest about uncertainty and avoid recommending a decision beyond what the evidence supports.

Add a ten-line script for explaining the idea live in a meeting, with a pause for questions, and a one-page cheat sheet of phrases to use and avoid. Include a short example using an invented experiment with plain-language conclusions.

Also give me a short analogy that avoids courtroom language, an example of the difference between a p-value and the probability that the hypothesis is true, and a one-line takeaway I can put on a slide. Add two sentences on how to explain why a result with a large sample can be significant yet small, with an invented example of the kind a manager would recognise.

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