How is confidence level related to the size of the interval?

The relationship between confidence level and the size of the interval is fundamental in statistics, particularly when dealing with confidence intervals. A confidence interval is a range of values that is likely to contain the population parameter with a certain probability, known as the confidence level.

When you construct a confidence interval, increasing the confidence level (for example, moving from 95% to 99%) means you want to ensure that you capture the true parameter with a higher level of certainty. To achieve this higher level of confidence, the interval must widen. This widening compensates for the increased uncertainty that comes with asserting a higher probability that the parameter falls within the interval.

Thus, a wider interval indeed corresponds to more confidence in the estimates because it allows for a greater range of possible values, accommodating the inherent variability in the data. This is why the correct answer highlights that a wider interval provides more confidence. The understanding of this concept is crucial in statistical analysis, particularly in forensic analysis, where making accurate inferences from data is essential.