STAT 100 Study Guide - Final Guide: Central Limit Theorem, Blood Pressure, Process State
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STAT 100 Full Course Notes
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Confidence interval: a statistic is a number that summarizes something about a sample, a parameter is a number that summarizes something about a population. The sample proportion (denoted p ), 0. 17, estimates the population proportion. For every random sample taken the p^ value will be slightly different. The sampling distribution of p describes the pattern of those many sample proportion values: we know that when the sample size n is reasonably large, the sampling distribution of p is approximately normal. The sampling distribution of p has a mean of p, the true population proportion. The sampling distribution of p has a standard deviation of: p. Since the sampling distribution of p is approximately normal, the empirical rule tells us about 95% of all possible samples will produce a value of p within 2 standard deviations of the true p (which is unknown). So in about 95% of samples, p will be between p 2 (sd) and p + 2 (sd).