Complete the statement by filling in the blanks. When constructing a confidence interval, if the level of confidence decreases, the margin of error will [increase/decrease]and the confidence interval will be [narrower/wider]. Group of answer choices

Decrease; narrower.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

A confidence interval can be defined as a measure of the number of times that a population parameter would be within a given set of data. Thus, it is an estimate of the uncertainty of a given statistical data.

When constructing a confidence interval, if the level of confidence decreases, the margin of error will decrease and the confidence interval will be narrower.

Consequently, when constructing a confidence interval, if the level of confidence increases, the margin of error will increase and the confidence interval will be wider.

Hence, for an estimator to be consistent it must have both a small bias and small variance.