This statistical question you have raised hhiusa is pure mathematical and so its real meaning in the real world is of limited use.

My question back to you would therefore be .............Why ?

You mention that 100% of the sample - ie 54 trades - were profitable.

OK - so then go on to show that the Z score is 2.1 and positive

So the probability is very high

Ok in the real world the 55th trade could still fail - and that is the most important part of what you need to know

Whether you are 95% confident that 91.8% of all future trades will be profitable or not is of NO significance in the real world to you saying you are only 86% confident of 94.2% of all future trades will be profitable.

Personally - I reckon you need a larger sample - ie >100+ or even better >1000

Otherwise stick 3 Maths Professors in a room together - and I bet one would disagree with the other 2 and would be able to explain with another formula that the assumption you have made are incorrect

Last point

What ever you do - dont ask any American Maths Professors - stick with reliable European ones - Harvard and MIT students are not the World's best - as I am sure you want to prove next ;-))

Look forward to your next thread with 99.9% enthusiasm - make sure its a good one

Regards

F