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this interval represents all values between

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Unformatted text preview: Error Using the critical values from the normal distribution, the margin of error in a sample proportion is ! = !! ⋅ !! where the proportion of the normal distribution contained between – Zc and Zc is equal to the level of confidence. Using the estimated standard error in place of !! gives a new formula for the margin of error, ! = !! ⋅ ! 1−! . ! Summary: Computing a Confidence Interval for a Population Proportion  Verify that the random sample has at least 10 successes and 10 failures.  Determine the critical value, Zc, corresponding to the chosen level of confidence.  Compute the margin of error, ! = !! ⋅  ! 1−! ! Compute the confidence interval. This is often represented as statistic ± E, where our statistic is the sample proportion, !. ! ± ! Often, we express confidence intervals in interval notation. An interval, expressed as ! , ! , is the set of all values between a and b. When we use interval...
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