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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- Apr 21st 2010, 10:14 AMFUTUREPASTRYCHEFConfidence Intervals...
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?

- Apr 21st 2010, 11:41 PMmatheagle
most people would use a normal approximation

$\displaystyle \hat p\pm 1.96\sqrt{{\hat p\hat q\over n}}$

where n=100 and $\displaystyle \hat p =.56$