Binomial Test

Tests whether the observed number of successes differs from a hypothesized probability in Bernoulli trials.

Parameters

• n: number of trials
• x: successes observed
• p₀: hypothesized success probability

Example

With n=20, x=15, p₀=0.5, compute two-sided p-value from the binomial distribution.

FAQs

Exact vs. normal approx?
Use exact for small n; normal for large n with continuity correction.

One- vs two-sided?
Choose based on directional hypothesis.