MATH 321 Lecture Notes - Lecture 82: Sampling Distribution, Point Estimation, Standard Deviation

• School: Ball State University
• Department: Mathematical Sciences
• Course: MATH 321
• Professor: Drew Lazar

Document Summary

In order to talk about inference populations of two population proportions from independent. Samples we must first determine the sampling distribution of the difference of two proportions. The point estimate of a population proportion, p, is given by: Where x is the number of n individuals in the sample that have a specific characteristic. The sampling distribution of p hat is approximately normal with: And the sample size is no more than 5% of the population size. So z is approximately normal with mean 0 and standard deviation of 1. Using this information along with the idea of independent sampling from two populations we get the sampling distribution from two separate sample distributions. The sampling distribution of p hat 1- p hat 2 is approximately normal with a mean equal to p1- p2 and a standard deviation given by this formula: The . 05 represents 5% of the sample size.