Explain p-value with an example
Last updated: July 16, 2025
Quick Overview
Explain p-value in simple terms and provide a concrete example.
Twilio
July 16, 20258
4
51 solved
Explain p-value in simple terms and provide a concrete example.
Statistics questions at Twilio test your ability to reason quantitatively and design rigorous experiments. This Take-home Project question evaluates your understanding of statistical inference and its application to business decisions.
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
- What assumptions does this test make, and how would you validate them?
- How would you explain this result to a non-technical audience?
- How would you design a follow-up experiment based on these results?
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Problem Formulation
To explain the concept of p-value, we start with a formal hypothesis testing framework. Suppose Twilio is interested in determining whether a new messaging feature (Feature A) significantly increases ...
Solution Approach
To calculate the p-value, we will follow these steps:
- Collect data on user engagement for both features. Assume we have data from 100 users for each feature.
- Calculate the mean and standard devi...
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