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This question already has an answer here:

I would like to paint an objective picture of some binary outcome.

Now I have data like this: 1085x yes, 1704x no. The percentage of the positive outcome is 40.72%, but I want to give an estimation of the uncertainty. (I have multiple rows like this that are independent of each other) I have Googled for bounds on Beta distributions or Bernoulli trials but can't make sense of it.

This unanswered question is related: https://stats.stackexchange.com/questions/92948/how-to-measure-whether-the-yes-no-bernoulli-trials-answers-have-converged-abou

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marked as duplicate by kjetil b halvorsen, gung - Reinstate Monica, Peter Flom - Reinstate Monica Jul 31 '17 at 22:10

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