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.

Test Statistic is $T_n:={\sum }_{i=1}^n{X}_i$ 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