Calculate variance for click-through rates
Last updated: May 29, 2026
Quick Overview
Given the following scenario about user conversion, calculate the the p-value.
DoorDash
Statistics & Math
Data Scientist
DoorDash
May 29, 2026Data Scientist
Technical Screen
Statistics & Math
Medium
14
6
2,800 solved
Given the following scenario about user conversion, calculate the the p-value.
DoorDash values data-driven decision making. This Technical Screen 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
- Set up the problem formally with proper notation
- Apply the correct statistical test with clear justification
- Interpret results with appropriate caveats and confidence levels
- Discuss practical significance vs statistical significance
- Identify potential confounders and how to address them
Key Topics to Cover
Causal inference basics
Regression analysis
Hypothesis testing (H0, H1, p-values)
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
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
- What assumptions does this test make, and how would you validate them?
- What if the sample size is very small?
- How would you handle multiple comparisons?
- 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 (CTR) in a DoorDash user conversion experiment. Let be the proportion of users who converted after viewing a promotion an...
Solution Approach
- Collect Data: Gather the number of users who converted and the total number of users in both groups (promotion vs. no promotion).
- Calculate Proportions: Compute and as ...
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