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Statistics Chapter 19
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5
Mathematics
12th Grade
02/09/2010

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Term
Standard error
Definition
when we estimate the standard deviation of a sampling distribution using statistics found from the data, the estimate is called a standard error
Term
Confidence interval
Definition
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
Term
One-proportion z-interval
Definition
a confidence interval for the true value of a proportion; the CD is p-hat +/- z*SE(p-hat), where z* is a critical value from the Standard Normal model corresponding to the specified confidence level
Term
Margin of error
Definition
in a confidence interval, the extent of the interval on either side of the observed statistic value is called the margin of error; it is typically the product of a critical value from the sampling distribution and a standard error from the data; a small ME corresponds to a CI that pins down the parameter precisely
Term
Critical value
Definition
the number of standard errors to move away from the mean of the sampling distribution to correspond to the specified level of confidence
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