Confidence Intervals ==================== Confidence intervals for a proportion when the numerator is either zero or "n" are the easiest kind of all to calculate, using Hanley's "Rule of 3's". Upper limit of confidence interval = 3 / n Thus, if no complications are noted in 100 consecutive patients given a specific treatment, the 95% confidence interval for the incidence of this complication ranges from 0%-3%. In your specific case, if no false negatives are noted in 100 diseased subjects, the 95% confidence intervals for sensitivity would range from 97%-100%. See: Hanley JA, Lippman-Hand A: If nothing goes wrong, is everything all right? JAMA 1983; 249:1743-1745.