Design an A/B test for a new checkout flow

Last updated: January 31, 2026

Quick Overview

Design an experiment to test the impact of a redesigned homepage. Include sample size calculation, metrics, and analysis plan.

Twitter/X
Statistics & Math
Data Scientist
Twitter/X
January 31, 2026
Data Scientist
Phone Screen
Statistics & Math
Medium

9

3

4,859 solved


Design an experiment to test the impact of a redesigned homepage. Include sample size calculation, metrics, and analysis plan.

Twitter/X values data-driven decision making. This Phone Screen 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
  • Set up the problem formally with proper notation
  • Apply the correct statistical test with clear justification
  • Interpret results with appropriate caveats and confidence levels
  • Discuss practical significance vs statistical significance
  • Identify potential confounders and how to address them
Key Topics to Cover
Causal inference basics
Regression analysis
Probability distributions
Central Limit Theorem
Bayesian vs frequentist inference
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 if the sample size is very small?
  • How would you handle multiple comparisons?
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Sample Answer
Problem Formulation

To design an A/B test for the new checkout flow on Twitter/X, we need to establish the following:

  1. Hypotheses:
    • Null Hypothesis (H0): The redesigned homepage has no effect on the conver...
Solution Approach
  1. Calculate the z-scores:

    • Zα/2=1.96Z_{\alpha/2} = 1.96
    • Zβ=0.84Z_{\beta} = 0.84
  2. Calculate the proportions:

    • p1=0.05p_1 = 0.05 (baseline)
    • p2=0.07p_2 = 0.07 (expected)
    • ...

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