Distribution of the Sample Proportion (1)• Sampling distribution of p: construction– The sampling distribution of a sample proportion would beconstructed experimentally in exactly the same manner aswas suggested in the case of the arithmetic mean and thedifference between two means.– From the population, which we assume to be finite, wewould take all possible samples of a given size and for eachsample compute the same proportion, .̂– We would then prepare a frequency distribution of ̂bylisting the different distinct values of ̂along with theirfrequencies of occurrence.