1D: Hypothesis testing: testing the proportion of a Binomially distributed variable
If X is the number of successes in 'n' independent trails with constant probability 'P' of success for each trial then, the expected value of X, denoted by E(X), is given by
In a sample of size 'n', let 'x' be the number of persons processing the given attribute then the observed proportion of success(p) is
If X ~ B(n,P) where X is the number of successes in 'n' trails with constant probability P of success. Then for large sample size n, the distribution of X tends to