Consider a hypothesis test of difference of proportions for two independent populations Suppose random samples produce r1 successes out of n 1 trials for the first population and r2 successes out of n2 trials for the second population What is the best pooled estimate p for the population probabilit...

Consider a hypothesis test of difference of proportions for two independent populations. Suppose random samples produce r1

Question:

Consider a hypothesis test of difference of proportions for two independent populations. Suppose random samples produce r1 successes out of n₁ trials for the first population and r2 successes out of n2 trials for the second population. What is the best pooled estimate p for the population probability of success using H₀: p₁ = p₂?