Test if coin is fair from 560 tails
Company: Databricks
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Technical Screen
You flip a coin **n = 1000** times and observe **560 tails**.
At significance level **α = 0.05**, test whether the coin is fair.
Requirements:
- State the null and alternative hypotheses.
- Show the test statistic and its distribution (or approximation).
- Compute the p-value (or rejection decision) with formulas.
- State your conclusion in plain language.
Quick Answer: This question evaluates understanding of hypothesis testing for proportions, including formulation of null and alternative hypotheses, computation of a test statistic and p-value, and interpretation of statistical significance in a coin-toss context.