STAT 213 Lecture Notes - Lecture 35: Statistical Parameter, Normal Distribution

• School: University of Calgary
• Department: Statistics
• Course: STAT 213
• Professor: Anatoliy Swishchuk

Document Summary

Large sample con dence interval for a single pro- portion. Sample size for desired margin of error. We want to estimate the proportion p of some characteristic in a large pop- ulation. We select a srs of size n from the popualtion and record the count x of. The sample proportion of successes p = x/n estimates the unknown popualtion parameter p. The count x has approximately the binomial distribution b(n, p). In statistical terms, we are concerned with inference about the probability p of a success in the binomial setting. 2 large sample con dence interval for a sin- gle proportion. The unknown population parameter p is estimated by the sample proportion. If the sample size n is signi cally large (more than 10 times), than p has approximately the normal distribution, with mean p = p and standard devition p =!p(1 p)/n. X n where x is the number of successes.