Which term describes the range of values expected due to sampling error?

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Multiple Choice

Which term describes the range of values expected due to sampling error?

Explanation:
The range of values expected due to sampling error is captured by the confidence interval. When you take a sample, the statistic you observe (like a mean or proportion) can differ from the true population value because of random sampling variation. A confidence interval expresses this uncertainty by providing a range around the sample estimate that, given a chosen level of confidence (such as 95%), is expected to contain the true population parameter. You typically see it as the point estimate plus and minus a margin of error. The margin of error reflects the sampling variability and is tied to the standard error and the chosen confidence level. A higher confidence level yields a wider interval because you’re aiming to be more certain, while a larger sample size reduces the margin of error and narrows the interval. Why the other terms don’t describe the range itself: the margin of error is the half-width of the interval, not the full range; the significance level relates to hypothesis testing error risk rather than a range of plausible parameter values; sample size influences how wide the interval is but isn’t the range itself.

The range of values expected due to sampling error is captured by the confidence interval. When you take a sample, the statistic you observe (like a mean or proportion) can differ from the true population value because of random sampling variation. A confidence interval expresses this uncertainty by providing a range around the sample estimate that, given a chosen level of confidence (such as 95%), is expected to contain the true population parameter.

You typically see it as the point estimate plus and minus a margin of error. The margin of error reflects the sampling variability and is tied to the standard error and the chosen confidence level. A higher confidence level yields a wider interval because you’re aiming to be more certain, while a larger sample size reduces the margin of error and narrows the interval.

Why the other terms don’t describe the range itself: the margin of error is the half-width of the interval, not the full range; the significance level relates to hypothesis testing error risk rather than a range of plausible parameter values; sample size influences how wide the interval is but isn’t the range itself.

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