How does the width of the interval respond to the changes in the confidence interval?
A) The width of the interval decreases with an increase in the confidence interval.
B) The width of the interval increases with an increase in the confidence interval.
C) The width of the interval is halved with the increase in the confidence interval.
D) The width of the interval is doubled with the decrease in the confidence interval.

Question

Quizplus · Accepted Answer

The width of the interval increases with an increase in the confidence interval. This is because a higher level of confidence requires a wider interval to account for more possible values that the true population parameter could be within. Conversely, a lower level of confidence requires a narrower interval because there is a greater tolerance for error.

How Does the Width of the Interval Respond to the Changes