Calculate conditional probability for click-through rates
Last updated: December 1, 2025
Quick Overview
Given the following scenario about user conversion, calculate the the p-value.
Lyft
December 1, 20254
4
4,681 solved
Given the following scenario about user conversion, calculate the the p-value.
This statistics question from Lyft's Take-home Project 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
- Derive results from first principles when needed
- Handle complex scenarios with multiple interacting variables
- Design experiments that account for real-world complications
- Discuss advanced topics: Bayesian methods, causal inference, resampling
- Connect statistical concepts to business decision-making
- Identify subtle errors in reasoning (Simpson's paradox, survivorship bias)
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 design a follow-up experiment based on these results?
- What if the sample size is very small?
- How would you explain this result to a non-technical audience?
- What alternative statistical method could you use here?
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Problem Formulation
In this scenario, we are tasked with calculating the click-through rates (CTR) for a specific advertising campaign run by Lyft. The goal is to determine the probability of a user clicking on an advert...
Solution Approach
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Collect Data: Obtain the total number of users who viewed the ad and the total number of users who clicked on the ad from demographic group B.
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Calculate Click-Through Rates:
- Let ...
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