Answer:
Option C) Increase; wider
Step-by-step explanation:
When constructing a confidence interval,
Margin of error =
[tex]\text{Critical Value}\times \displaystyle\frac{\text{Standard Deviation}}{\sqrt{\text{Sample Size}}} = \text{Critical Value}\times \frac{\sigma}{\sqrt{n}}[/tex]
As the confidence level increases, the value for critical value increases and hence, the margin of error increases.
Confidence interval =
[tex]\text{Sample mean} \pm \text{Margin of error}[/tex]
As the margin of error increases, the confidence interval will be wider.
