Test coin fairness from 560 tails in 1000 flips
Quick Overview
This problem evaluates hypothesis testing for proportions—formulating null and alternative hypotheses, applying the binomial-to-normal approximation, and interpreting p-values; it belongs to Statistics & Math for Data Scientist roles and is pitched at an introductory/undergraduate applied statistics level.
Databricks
Dec 12, 2025, 12:00 AM
Data Scientist
Technical Screen
Statistics & Math
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You flip a coin n = 1000 times and observe 560 tails.
At significance level α = 0.05, test whether the coin is fair.
- State the null and alternative hypotheses.
- Show the test statistic and its distribution/approximation.
- Compute (or approximate) the p-value.
- State your conclusion.
Assume an i.i.d. Bernoulli model for tails with probability p.
Solution
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