Calculate expected value for A/B test results

Last updated: August 21, 2025

Quick Overview

Given the following scenario about revenue per session, calculate the the p-value.

Jump Trading
Statistics & Math
Data Scientist
Jump Trading
August 21, 2025
Data Scientist
Onsite
Statistics & Math
Hard

12

7

826 solved


Given the following scenario about revenue per session, calculate the the p-value.

Jump Trading 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
  • 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
Probability distributions
Power analysis and sample size calculation
Bayesian vs frequentist inference
Multiple testing correction (Bonferroni, FDR)
Causal inference basics
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 handle multiple comparisons?
  • What if the sample size is very small?
  • 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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Sample Answer
Setting Up the Problem

Start by formalizing the problem: 1. **Define the hypotheses**: H0 (null hypothesis) and H1 (alternative). Be precise about what you're testing. 2. ...

Solution Approach

**Compute the test statistic**: Apply the appropriate formula using the sample data. **Find the p-value**: The probability of observing a result this...


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