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So, 50K out of 1.3m is small enough to be acceptable. This I can agree with, giving you a margin of error of 3.84% (who wouldnt want that margin of error)

What is the limit of acceptability tho? You say 150k or 200k is too high (11.5% and 15.4%) which it is.

In my line of work, we ALWAYS have to work in the field of acceptability being in the range of +/-5%. So as far as Im concerned, it is a tie because it easily falls within the range of my own acceptability.