Thanks.
Anyway, it is not homework and I was not told to do that. My question has
not been answered yet, I'll try to reformulate it:
Does it make (statistical) sense to resample with replacement in this
situation to get an estimate of the CIs? In case it does, how could I do it
in R?

Some further details on my real case study:
10 independent samples from a population in ten sessions. Each sample
consists of a number (somehow variable) of random individuals that are
classified as 0 or 1 depending on one specific state (presence or absence of
a disease).
I can calculate, for each session, the percentage of individuals diseased
but I have nothing about the CIs, any suggestion? 


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