What is a binomial test?

A statistical test to determine if the proportion of successes in a sample differs significantly from a hypothesized proportion.

When is the binomial test used?

For small samples or when testing if an event occurs at a specific probability, like coin flips or survey responses.

Binomialtest - Solve mathematical problems with step-by-step solutions.

Calculate p-values for a binomial test

Enter test parameters:

xNumber of Successes

nNumber of Trials

p_0Hypothesized Prob.

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

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

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.

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