Chuck has decided to increase the size of the sample he uses to estimate a population proportion.
What is the effect on the width of the associated confidence interval?

A)The width of the confidence interval increases.
B)The width of the confidence interval decreases.
C)The width of the confidence interval is unchanged.
D)There is not enough information to say.

Question

Chuck has decided to increase the size of the sample he uses to estimate a population proportion. ​
What is the effect on the width of the associated confidence interval?
​
A)The width of the confidence interval increases.
B)The width of the confidence interval decreases.
C)The width of the confidence interval is unchanged.
D)There is not enough information to say.

Quizplus · Accepted Answer

Increasing the sample size generally leads to a decrease in the width of the confidence interval, making the estimate more precise. This is because the standard error, which is inversely related to the square root of the sample size, decreases as the sample size increases.

Chuck Has Decided to Increase the Size of the Sample