A wide confidence interval typically indicates what about precision?

A wide confidence interval typically indicates what about precision?

• A. High precision
• B. Moderate precision
• C. Low precision
• D. Very high precision

Answer: (C)

Precision is about how tightly our estimate pinpoints the true population value. A wide confidence interval means there’s a lot of uncertainty about where the true value actually lies, so the estimate is imprecise. In other words, the larger the interval, the less precise the estimate. The interval width depends on variability in the data and the sample size: more data or less variability yields a narrower interval and higher precision. Conversely, small samples or high variability produce wider intervals, signaling low precision. Note that increasing the confidence level (to be more confident we capture the true value) also widens the interval, which lowers precision in the short term but increases certainty.

Precision is about how tightly our estimate pinpoints the true population value. A wide confidence interval means there’s a lot of uncertainty about where the true value actually lies, so the estimate is imprecise. In other words, the larger the interval, the less precise the estimate.

The interval width depends on variability in the data and the sample size: more data or less variability yields a narrower interval and higher precision. Conversely, small samples or high variability produce wider intervals, signaling low precision. Note that increasing the confidence level (to be more confident we capture the true value) also widens the interval, which lowers precision in the short term but increases certainty.