Hi, I'm doing some research in which I have to apply some statistics. I've been scouring literature to try and find what I need, but have not been able to. I hope someone here might take pity and help me!

I have a test which I ran where the result was PASS or FAIL for each trial. I have calculated the probability of the number of passes I should get and want to compare it to the number of passes I actually got to see if the difference is significant. I tried applying the binomial test and that didn't seem to work (I got 0), and I've tried the chi-square test and that doesn't seem to work either as it appears you need more than one set.

The actual figures were:

461 successes from 2940 trials, where expected was 184 successes.

Any help to point me in the right direction would be very much appreciated.

Many thanks!