Assuming each trial is independent and the experiment is a Bernoulli experiment (e.g. akin to flipping a coin 700 times), the probability that you will get a re

Assuming each trial is independent and the experiment is a Bernoulli experiment (e.g. akin to flipping a coin 700 times), the probability that you will get a result within 5% of the expected mean (50%) is 81.4%. Remember, though, that the probability of getting EXACTLY 50% is only 3%. The probability of getting exactly +/- 5% is about 2.5%. So, you have about the same chance of getting that result as the theoretical. That by itself wouldn't mean anything, though - we need more information on the experiment. The best impromptu way to tell if it was significant would be to look at the distribution of the success rates of individual people. @Parapsych - What kind of data are you logging and would you be willing to release that?