Answer:
Correct option:
The 95% confidence interval is wider than the 90% confidence interval.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population proportion is:
The width of this interval is:
The width of the interval is directly proportional to the critical value.
The critical value of a distribution is based on the confidence level.
Higher the confidence level, higher will be critical value.
The <em>z</em>-critical value for 95% and 90% confidence levels are:
*Use a <em>z-</em>table.
The critical value of <em>z</em> for 95% confidence level is higher than that of 90% confidence level.
So the width of the 95% confidence interval will be more than the 90% confidence interval.
Thus, the correct option is:
"The 95% confidence interval is wider than the 90% confidence interval."