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dvasya comments on Too good to be true - Less Wrong
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I don't see a paradox. After 100 experiments one can conclude that either the confidence level was set too low, or the papers are all biased toward two-tailed coins. But which is it?
(1) is obvious, of course--in hindsight. However changing your confidence level after the observation is generally advised against. But (2) seems to be confusing Type I and Type II error rates.
On another level, I suppose it can be said that of course they are all biased! But, by the actual two-tailed coin rather than researchers' prejudice against normal coins.