# 6b - Standard Error The standard error is the estimated...

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Standard Error The standard error is the estimated standard deviation of a sampling distribution, based on the sample statistics. The standard error of ˆ p is: ˆˆ pq ˆ SE(p) n = The standard error of the mean is: s SE(y) n = Page 48

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Page 49 Confidence Intervals A level C confidence interval for a model parameter is an interval of values usually of the form estimate ± margin of error found from data in such a way that C% of all random samples will yield intervals that capture the true parameter value.
Confidence Intervals for Proportions When the conditions are met, the confidence interval for the population proportion, p, is * ˆˆ pz S E ( p ) ±× where the standard deviation of the proportion is estimated by pq ˆ SE (p) n = The value of z * is called the critical value , and depends on the confidence level you specify. * ˆ zS E ( p ) × is called the margin for error ˆ p is called the point estimate for p Page 50

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Conditions you can check: 1. Plausible independence condition: The data values do not affect each other. 2. Randomization Condition The values must be sampled randomly, or generated from a properly randomized experiment.
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6b - Standard Error The standard error is the estimated...

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