Interpret a statistically significant lift of 2% from an experiment

Last updated: July 3, 2025

Quick Overview

An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

HRT
Statistics & Math
Data Scientist
HRT
July 3, 2025
Data Scientist
Technical Screen
Statistics & Math
Easy

95

5

2,433 solved


An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

Statistics questions at HRT test your ability to reason quantitatively and design rigorous experiments. This Technical Screen question evaluates your understanding of statistical inference and its application to business decisions.

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
Conditional probability and Bayes theorem
Bayesian vs frequentist inference
Causal inference basics
Central Limit Theorem
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 assumptions does this test make, and how would you validate them?
  • How would you design a follow-up experiment based on these results?
  • How would you handle multiple comparisons?
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Sample Answer
Setting Up the Problem

Start by formalizing the problem: 1. **Define the hypotheses**: H0 (null hypothesis) and H1 (alternative). Be precise about what you're testing. 2. ...

Solution Approach

**Compute the test statistic**: Apply the appropriate formula using the sample data. **Find the p-value**: The probability of observing a result this...


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