Design an A/B test for a new checkout flow

Last updated: March 10, 2026

Quick Overview

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

HRT
Statistics & Math
Data Scientist
HRT
March 10, 2026
Data Scientist
Technical Screen
Statistics & Math
Medium

32

6

3,766 solved


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

This statistics question from HRT's Technical Screen tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.

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
Probability distributions
Multiple testing correction (Bonferroni, FDR)
Regression analysis
Hypothesis testing (H0, H1, p-values)
Causal inference basics
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
  • What alternative statistical method could you use here?
  • How would you handle multiple comparisons?
  • What if the sample size is very small?
  • How would you explain this result to a non-technical audience?
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Sample Answer
Problem Formulation

To evaluate the impact of a redesigned homepage on user conversion rates, we will conduct an A/B test. We define:

  • Null Hypothesis (H0): The conversion rate for the new homepage is equal to the ...
Solution Approach

To calculate the required sample size:

  1. Identify Baseline Conversion Rate: Assume the current conversion rate p1p_1 is 5% (0.05).
  2. Determine Minimum Detectable Effect: We want to detec...

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