User blog comment:Wizongod/Calculating Confidence Intervals for Underlying Probabilities/@comment-25779449-20150205032634/@comment-24921408-20150205085635

Sure! Just pop me a list of attempts and successes, and I'll run it through the script in Matlab and return you the results. Should be pretty fast.

I didn't learn this through the Engineering course actually. We had a short Probability Module, but that was mostly an intro, and covered most of the stuff I knew from high school regarding Hypothesis Testing, Binomial Distributions, Exponential Distributions, etc. I worked the formulas out based on the reasoning that you see above, which is why I'm not entirely certain if this is correct. It just appears to be so, and stands up to all forms of tests I've thrown at it (Engineering style!).

The software is Matlab, which I'm sure you've seen/heard of before. It's also possible to convert it to other languages if needed as the functions used aren't particularly difficult I think.

Oh, and I still haven't properly understood what the standard error calculation is doing. Haven't looked through it thoroughly yet.