Interpret mixed results across segments from an experiment

Last updated: September 13, 2025

Quick Overview

An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?

Apple
Statistics & Math
Data Scientist
Apple
September 13, 2025
Data Scientist
Onsite
Statistics & Math
Medium

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5

805 solved


An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?

Apple 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
  • 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
Confidence intervals and significance levels
Regression analysis
Central Limit Theorem
Conditional probability and Bayes theorem
Multiple testing correction (Bonferroni, FDR)
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 explain this result to a non-technical audience?
  • How would you handle multiple comparisons?
  • What assumptions does this test make, and how would you validate them?
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Sample Answer
Problem Formulation

We are tasked with interpreting the results of an experiment conducted by Apple which shows a 3% lift in a certain metric with a p-value of 0.08.

Let us define the null hypothesis H0H_0: There i...

Solution Approach

To assess the significance of our results, we compare the p-value to a commonly used significance level, α=0.05\alpha = 0.05.

  1. Evaluate the p-value: With a p-value of 0.08, we see that ( 0.08...

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