Answer:
Option B) Margin of error becomes smaller
Step-by-step explanation:
We are given the following information in the question:
A poll to determine the percentage of adults who gamble at least once a month.
We have to find what happens to the confidence interval as the sample size increases.
Margin of error =
[tex]\text{Critical Value}\times \displaystyle\frac{\sigma}{\sqrt{n}}[/tex]
Confidence interval:
[tex]\mu \pm \text{Margin of error}[/tex]
As the sample size increases, the margin of error decreases.
As the margin of error decreases the width of the confidence interval decreases.
Option B) Margin of error becomes smaller