How this calculation works
Find an exact one-sided upper risk bound when no trials had the event.
THE FORMULA
p_upper=1−(1−confidence)^(1/n)A worked example
Zero events in 100 trials give an upper 95% bound of about 2.95%.
Good to know
Trials must be independent with a shared event probability.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Find an exact one-sided upper risk bound when no trials had the event.
The primary result is labeled “One-sided upper probability”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Trials must be independent with a shared event probability.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
Zero events in 100 trials give an upper 95% bound of about 2.95%.
Which rule does this calculator apply?
p_upper=1−(1−confidence)^(1/n)