The larger the level of confidence, C, the ______ the confidence interval.smallerlargerNone of the above.

To answer this question, we need to consider what a confidence interval is and how it relates to confidence levels.

1. Understanding Confidence Interval: A confidence interval provides a range of values that is likely to contain the true population parameter, based on a sample. The width of this interval indicates the level of uncertainty we have about the estimate.

2. Confidence Level, C: The confidence level (often expressed as a percentage, such as 90%, 95%, or 99%) reflects the degree of certainty we wish to have that the population parameter lies within the calculated confidence interval. For example, a 95% confidence interval indicates that if we were to take many samples and create confidence intervals for each, approximately 95% of those intervals would contain the true population parameter.

3. Relationship Between Confidence Level and Interval Width: As the confidence level increases, we want to be more certain that our interval captures the true parameter. To achieve this higher level of confidence, the range of the confidence interval must widen. Therefore, the confidence interval becomes larger as the confidence level increases.

Final Answer

The larger the level of confidence, C, the larger the confidence interval.