## Solved – Test if two samples of binomial distributions comply with the same p

Suppose, I have done: $n_1$ independent trials with an unknown success rate $p_1$ and observed $k_1$ successes. $n_2$ independent trials with an unknown success rate $p_2$ and observed $k_2$ successes. If, now $p_1 = p_2 =: p$ but still unknown, the probability $p(k_2)$ to observe $k_2$ for a given $k_1$ (or vice versa) is proportional … Read more