As a rule of thumb, if the sample size n is large relative to the population size N, in particular, if n/N 0.05, then the resulting experiment will NOT be binomial.

Question

As a rule of thumb, if the sample size n is large relative to the population size N, in particular, if n/N > 0.05, then the resulting experiment will NOT be binomial.

Quizplus · Accepted Answer

This is because if n is large relative to N, the individual trials may no longer be independent and identically distributed, which are necessary assumptions for a binomial experiment. In such cases, a different statistical model may be more appropriate.

As a Rule of Thumb, If the Sample Size N