Binomial Test Calculator

Test whether observed number of successes differs from expected probability in a series of independent trials.

When to Use

  • Binary outcomes (success/failure, yes/no)
  • Independent trials
  • Testing against known probability

Examples

  • Testing if coin is fair (50% heads)
  • Checking if response rate differs from industry average
  • Testing Mendelian inheritance ratios

Null Hypothesis

H₀: Observed proportion equals expected probability (p = p₀)