Katkat

Explain P-value, Confidence Interval, and Multiple Testing Adjustments

AmazonData Scientist · Technical Screen

Last updated

Evaluates A/B testing inference fundamentals, including p-values, confidence intervals, multiple testing adjustments, Type I and Type II errors, z-tests versus t-tests, and CLT versus LLN. Strong answers connect definitions to experiment decisions and common pitfalls.

Scenario

AB-testing and inferential statistics for new product launches.

Question

Define p-value and confidence interval and explain their relationship. How do you adjust for multiple testing (e.g., Bonferroni, Tukey)? Explain Type I and Type II errors with examples. When would you use a Z-test versus a t-test? Compare the Central Limit Theorem with the Law of Large Numbers.

Hints

Focus on assumptions, formulas, and practical implications.