We can caluculate the confidence interval with the use of binom.test.

I wonder if 95% HDI by MCMC is superior to 95% CI, the former show the distribution curve of the credibility,
but it is so time consuming.

If we do not care about the shape of distribution, it seems to me about the same result.

http://i.imgur.com/CeP49Rx.jpg

It's fun to learn.

Refer to >3 to see how DoTeihen's spend their time.