BIOL2300 Lecture Notes - Lecture 12: Confidence Interval, Standard Score, Sample Size Determination
4 Apr 2017
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Document Summary
Margin of error e for estimate of proportion for 1- alpha confidence interval for alpha=5% E = z alpha/2 times square root of (pq)/n. If p hat q hat are unknown: approx with . 5 for each. Not: probability that p lies in given interval. Probability that p belongs to interval (p hat plus or minus e) At least 95% if one were to take all samples of size. Compute p hat and test is p belongs to interval. Probability p of success, q of failure, margin of error e, pop sd. Sampling distribution of means: distribution of means of all size n sample drawn from given population. Mean and sd for sampling distribution of means: u and sd/square root of n. X bar - u/ sd/square root of n. Z alpha 2 < z score < z alpha 2. Average of sampling distribution is smaller than single. Requirements to estimate u when sd is known.
