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, 2026
Data 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
  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
  • 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?
Sharpen Your Skills on Codemia

Practice similar problems with our interactive workspace, get AI feedback, and track your progress.

Browse Statistics Questions
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...


Submit Your Answer
Markdown supported

Related Questions