Question

2 multiple choice 1 point the radius of a confidence interval is called the margin of error. population parameter. standard deviation. confidence level.

Explanation:

• A confidence interval is of the form \(\bar{x}\pm E\), where \(\bar{x}\) is the sample statistic (e.g., sample mean) and \(E\) is the margin of error.
• The distance from the center (\(\bar{x}\)) of the confidence interval to either end - point is \(E\). Since a confidence interval is symmetric (in the case of normal - based intervals for means etc.), this distance \(E\) is like the radius of an interval centered at \(\bar{x}\).
• A population parameter (e.g., \(\mu\) for population mean) is the value we are trying to estimate with the confidence interval.
• The standard deviation (\(\sigma\) for population standard deviation, \(s\) for sample standard deviation) is a measure of the spread of a data set and is used in the formula for calculating the margin of error (\(E = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) for a confidence interval for a population mean when \(\sigma\) is known).
• The confidence level (e.g., 95% confidence level) is the probability that the confidence interval contains the population parameter.

Answer:

margin of error.