Statistical Sciences 2244A/B Chapter Notes - Chapter 19: Confidence Interval, Sample Size Determination, Sampling Distribution
Document Summary
Chapter 19 inference about population proportion - stats 2244. P is similar in behaviour to sample means(xbar). The larger the sample the more near normal the distribution would be. The mean of the sampling distribution of is the true value of the population proportion p. that is, is an unbiased estimator of p. Standard deviation of p decreases as sample size increases. Normal approximation of sampling distribution of p is less accurate when p is. P is used to estimate p and make inference about population proportions closer to 0 or 1. Sample size (n) is large to ensure p distribution close to normal. Note* inference procedures require the population to be much larger than the sample, this condition is applied to inference procedures. Need p to calculate confidence interval for population one way to go around this if we don"t have p is to replace standard deviation with the standard error of p .