I want to get confidence intervals for the prevalence of a certain condition. I think it is correct to model the phenomenon with a Binomial distribution
Surfing CrossValidated I see a bunch of methods for extracting such intervals but no one cited exact binomial or exact Poisson as alternatives. Why is that? Those are not correct models for modeling prevalence?
Second questions: the two methods on R give slightly different results, eg:
binom.test(142, 742) # 0.1636684 0.2215588 poisson.test(142, T = 742) # 0.1611933 0.2255661
Why is that and what should I prefer for measures like prevalence (and incidence too