Calculate expected value for user retention
Last updated: October 28, 2025
Quick Overview
Given the following scenario about user conversion, calculate the the p-value.
Atlassian
Statistics & Math
Data Scientist
Atlassian
October 28, 2025Data Scientist
Onsite
Statistics & Math
Easy
39
5
482 solved
Given the following scenario about user conversion, calculate the the p-value.
Statistics questions at Atlassian 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
- 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
Confidence intervals and significance levels
Probability distributions
Multiple testing correction (Bonferroni, FDR)
Conditional probability and Bayes theorem
Central Limit Theorem
Causal inference basics
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 handle multiple comparisons?
- What alternative statistical method could you use here?
- What if the sample size is very small?
- What assumptions does this test make, and how would you validate them?
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Problem Formulation
To calculate the expected value for user retention at Atlassian, we first need to define the relevant parameters:
- User Conversion Rate (p): The proportion of users who are retained after a ce...
Solution Approach
To find the expected value for user retention:
- Define the Sample Size (n): Assume we have a sample size of 1000 users.
- Estimate the User Conversion Rate (p): Let's say we observed th...
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