Final answer:
The sampling distribution of p-hat in statistics is best described by the binomial distribution. A simple random sample is taken and the conditions of np > 5 and nq > 5 must be met for the binomial distribution to approximate a normal distribution.
Step-by-step explanation:
The sampling distribution of p-hat in statistics is best described by the binomial distribution. When conducting a hypothesis test of a single population proportion, a simple random sample is taken from the population, and the outcomes of each trial are either success or failure with the same probability of success, p. The binomial distribution approximates a normal distribution when the conditions np > 5 and nq > 5 are met (where q = 1 - p).