6
AssignmentMultiple Choice

More about Confidence Intervals

Question 6 • CA-Statistics and Probability B

A random sample was selected, and a confidence interval was created from the point estimate.If the confidence level is decreased, the width of the interval will:

Answer
A
increase.
B
decrease.
C
stay the same.
D
not be able to be determined, because we don’t know the sample size.

Explanation

A confidence interval is typically the point estimate plus or minus a margin of error. With the sample and method unchanged, lowering the confidence level lowers the critical value and therefore reduces the margin of error. The interval becomes narrower, so its width decreases. The correct choice is “decrease.”

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