Question 1014302
it's still .5


the sample mean of .54 for a sample size of 100 is not sufficiently far enough away from the theoretical probability of .5 to indicate that the coin is not a fair coin.


the limits at 95% confidence level are .41775 to .58225


the proability of heads from a sample of size 100 could be anywhere between there and still be considered as due to sample error rather than a shift in the probability of the coin itself.