What Is the Sampling Distribution of the Sample Proportion

If repeated random samples of a given size n are taken from a population of values for a categorical variable, where the proportion in the category of interest is p, then the mean of all sample proportions (p-hat) is the population proportion (p).

How do you find the sampling distribution of a sample proportion?

The Sampling Distribution of the Sample Proportion. For large samples, the sample proportion is approximately normally distributed, with mean μˆP=p. and standard deviation σˆP=√pqn. A sample is large if the interval [p−3σˆp,p+3σˆp] lies wholly within the interval [0,1].

What is the mean of the sampling distribution of the sample proportion quizlet?

The mean of the sampling distribution of a sample proportion is np, the sample size times the probability of success for each trial (or observation). The mean of the sampling distribution of a sample proportion is p, the probability of success for each trial (or observation).