CRITBINOM

The CRITBINOM function returns the smallest value for which the cumulative binomial distribution is greater than or equal to a given value. All arguments are number values.

CRITBINOM(trials, prob-success, alpha)

trials: The total number of trials or tests. trials must be greater than or equal to 0.

prob-success: The probability of success for each trial or test. prob-success must be greater than or equal to 0 and less than or equal to 1.

alpha: The probability that the true population value lies outside the interval. alpha must be less than or equal to 1. Subtracting the confidence interval from 1 yields the alpha.

Example
=CRITBINOM(97, 0.05, 0.05) returns 2, based on 97 trials, with each trial having a probability of success of 5% and a 95% confidence interval (5% alpha). =CRITBINOM(97, 0.25, 0.1) returns 19, based on 97 trials, with each trial having a probability of success of 25% and a 90% confidence interval (10% alpha). =CRITBINOM(97, 0.25, 0.05) returns 17, based on 97 trials, with each trial having a probability of success of 25% and a 95% confidence interval (5% alpha).

Example

=CRITBINOM(97, 0.05, 0.05) returns 2, based on 97 trials, with each trial having a probability of success of 5% and a 95% confidence interval (5% alpha).

=CRITBINOM(97, 0.25, 0.1) returns 19, based on 97 trials, with each trial having a probability of success of 25% and a 90% confidence interval (10% alpha).

=CRITBINOM(97, 0.25, 0.05) returns 17, based on 97 trials, with each trial having a probability of success of 25% and a 95% confidence interval (5% alpha).