As a published researcher I thank you for your description but no this is not how statistical significance is calculated.
So how would you do it? And do you actually know what you're talking about, or you just want to think that I'm wrong?
I'll be happy to learn something, if you have any valuable input. But as far as I know, the binomial distribution is exactly what would be applied here. There are tutorials and explanations in the link I posted, by the way.