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Differentiate P-value and Confidence Interval in Statistics

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This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Differentiate P-value and Confidence Interval in Statistics states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Fundamental statistics knowledge check

Question

Explain the difference between a p-value and a confidence interval. When would you use a t-test versus a chi-square test? Define Type I and Type II errors and give examples.

Hints

Focus on definitions, assumptions, and correct interpretation of results.