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What percentage of times will the mean (population proportion) not be found within the confidence interval?
The Poincaré Conjecture.
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
The answer depends on how rare or common the selected trait is. For something that is very rare, you will need a much larger sample to get a reasonable estimate of proportion.
its means due to proportion