Say I have a sample of N measurements, n of them have characteristic C.
What are the density and distribution functions of C's presence in the population.
For example, out of N = 100 people randomly sampled in the city I spot n= 20 blond ones, what's the chance p that blonds are more than x = 25% of the city's population ?
Once I get it, how can I find the narrowest 90% CI around the mode ?
I may have low n so I can't do any normal approximation.