Interpret no significant difference from an experiment
Last updated: February 22, 2026
Quick Overview
An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?
OpenAI
February 22, 20265
3
4,513 solved
An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?
This statistics question from OpenAI's Onsite 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
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
- How would you explain this result to a non-technical audience?
- What if the sample size is very small?
- What assumptions does this test make, and how would you validate them?
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Problem Formulation
In this experiment, we are interested in evaluating the effectiveness of a certain intervention that resulted in a reported 3% lift in the performance metric of interest. The p-value associated with t...
Solution Approach
Given that the p-value is 0.08, we compare this to our significance level (α), commonly set at 0.05. Since 0.08 > 0.05, we do not reject the null hypothesis. However, this does not mean there is absol...