Tool

How wide is your win rate, really?

18 wins out of 30 is "a 60% win rate", but the 95% interval runs from 42% to 76%. Enter your rounds and wins to see the interval; then enter the win rate you hope to prove to see how many rounds it takes.

Observed win rate—
95% confidence interval—
Interval width—

While the interval contains 50%, this sample cannot tell you from a coin flip.

How many rounds to show it is not a coin flip?

Rounds needed, roughly—

Two-sided 5% significance, 80% power, against 50%. The closer to 50%, the faster the requirement grows.

Method and derivation in How many trials are enough; build the sample with free practice.