Use the Given Degree of Confidence and Sample Data to Construct

question 18

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n=56, x=30 ; 95% confidence

• A) \(0.405 < p < 0.667\)
• B) \(0.425 < p < 0.647\)
• C) \(0.426 < p < 0.646\)
• D) \(0.404 < p < 0.668\)

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Definitions:

Interval Estimate

An interval estimate is a range of values derived from sample statistics that is likely to contain the value of an unknown population parameter.

Population Parameter

A numerical value summarizing the entire population that can often be estimated by a statistic derived from a sample.

Margin of Error

The maximum expected difference between the true population parameter and a sample estimate of that parameter.

Estimator's Squared Bias

The squared difference between an estimator's expected value and the true value of the parameter being estimated.