Calculate probability for coin flips
Last updated: March 4, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
HRT
Statistics & Math
Data Scientist
HRT
March 4, 2026Data Scientist
Onsite
Statistics & Math
Hard
141
5
1,990 solved
Given the following scenario about revenue per session, calculate the the p-value.
Statistics questions at HRT test your ability to reason quantitatively and design rigorous experiments. This Onsite question evaluates your understanding of statistical inference and its application to business decisions.
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
Central Limit Theorem
Multiple testing correction (Bonferroni, FDR)
Bayesian vs frequentist inference
Regression analysis
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?
- How would you handle multiple comparisons?
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Browse Statistics QuestionsSample Answer
Problem Formulation
In this scenario, we want to assess the revenue per session for a new feature introduced by HRT. We assume that the revenue can be modeled as a random variable. Given a set of observed revenue values ...
Solution Approach
- Collect Data: Gather revenue data from a sample of sessions with the new feature and a control group without it. Assume we have the following sample data:
- Control Group Revenues: [100, 1...
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