When we make inferences about the difference of two independent population proportions, what assumptions do we need to make

Random samples

Counts of successes and failures at least 15 each for each group.

Step-by-step explanation:

For making any inferences about the differences of the two independent population proportion, we assumed that the samples are of random and the counts of the success and the failures are at least 15 each for each of the groups.

From such assumption of the randomness, the observations in the population 1 will not be affected by the observations in the population 2, and also vice versa.

The assumptions of the counts refers tot he samples from each population that are big enough to justify by the normal distribution in order to model the differences between the proportions.

Therefore the assumptions that we need to make are:

-- Random samples

-- Counts of successes and failures at least 15 each for each group.