Question

What would happen to the width of the confidence interval if Gina changed it to a 99% confidence interval?

Answer 1

Answer:

The confidence interval becomes wider.

Step-by-step explanation:

The general form of a confidence interval is:

$Sample\ statistic\pm Critical\ value\times \frac{Standard\ deviation}{\sqrt{Sample\ size} }$

The critical value is based on the confidence level.

The confidence level is the probability that the true parameter value falls within a specific interval. The basic and most used confidence levels are 90%, 95% and 99%.

The confidence interval is directly proportional to the confidence interval.

Confidence Interval ∝ Confidence Level

On increasing the confidence level the confidence level widens. And on decreasing the confidence level the confidence level gets narrower.

Thus, when Gina changes the confidence interval to 99% the confidence interval becomes wider.