To test a coin for fairness (equal likelihood of heads and tails a flip), a coin is flipped 100 times with the result that heads came up 56 times. What is the 95% confidence interval for such an experiment?
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most people would use a normal approximation $\displaystyle \hat p\pm 1.96\sqrt{{\hat p\hat q\over n}}$ where n=100 and $\displaystyle \hat p =.56$
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