Let us say we define telepathy as mental awareness of existing physical data without using physical senses. I would like to determine the existence of such ability in a statistically significant way. I am neither a statistician or mathematician so would like to know how proof of the following conditions would be statistically significant:
I design a program to randomly generate a number between 1 and 3
Chance determination of that number without looking would be 33%
I know there is something called p-value for significance and that 0.05 is considered significant in most accepted peer-reviewed studies so that is the pvalue I want to achieve.
How many correct values in a dataset of 100 numbers will I need to achieve pvalue 0.05?