Binomial Test

For a sample from Bernoulli Distribution with unknown parameter $p$ . Test if parameter $p$ is greater, less or equal to some prescribed parameter.

T_n:=\sum_{i=1}^n X_i

which is the number of successes in a data sequence (0s, 1s). The statistic has Binomial Distribution $B(n,p)$ .

Probability of small values in the test statistic decreases with $p$ (Power Function).

Right-Sided Binomial Test #todo Two-Sided Binomial Test #todo