Design an A/B test for a pricing model

Last updated: August 15, 2025

Quick Overview

Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.

PayPal
Statistics & Math
Data Scientist
PayPal
August 15, 2025
Data Scientist
Onsite
Statistics & Math
Easy

137

14

3,415 solved


Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.

PayPal values data-driven decision making. This Onsite question assesses whether you can design experiments, interpret results correctly, and avoid common statistical pitfalls like p-hacking or Simpson's paradox.

What the Interviewer Expects
  • State the correct formula or theorem with clear definitions
  • Apply the concept to the given scenario step by step
  • Interpret the result in plain language
  • Identify assumptions and when they might be violated
Key Topics to Cover
Central Limit Theorem
Multiple testing correction (Bonferroni, FDR)
Confidence intervals and significance levels
Hypothesis testing (H0, H1, p-values)
Causal inference basics
Regression analysis
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • How would you design a follow-up experiment based on these results?
  • What alternative statistical method could you use here?
  • How would you explain this result to a non-technical audience?
  • What assumptions does this test make, and how would you validate them?
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Sample Answer
Setting Up the Problem

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Solution Approach

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