Calculate probability for click-through rates
Last updated: January 22, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
Rippling
January 22, 20265
12
2,469 solved
Given the following scenario about revenue per session, calculate the the p-value.
This statistics question from Rippling'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
- 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
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?
- How would you design a follow-up experiment based on these results?
- What alternative statistical method could you use here?
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Problem Formulation
We are tasked with calculating the p-value for the click-through rates associated with revenue per session. To do this, we need to set up our null hypothesis (H0) and alternative hypothesis (H1). Let:...
Solution Approach
To calculate the p-value, we will use the following steps:
- Collect sample data for both groups, including the sample size (nA, nB), mean CTR (meanA, meanB), and standard deviation (stdA, stdB).
- ...
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