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A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as 4 percentage points. Given specific sample​ data, which confidence interval is​ wider: the 90​% confidence interval or the ​80% confidence​ interval? Why is it​ wider?

Respuesta :

Between 95% confidence interval and 80% confidence interval, 95% confidence interval is wider than 80% confidence interval.

Given two confidence interval 95% and 80%.

For a given sample data, each confidence interval have different width.

This is because the critical value associated with the confidence level becomes larger as the confidence level is increased which results in an increased interval.

Confidence interval is the range of estimate.

The confidence interval for a population proportion can be found by the following formula:

p±[tex]\sqrt{(pq)/n}[/tex]

The value of z will be wider if the value of p,q are greater.

Hence 95% confidence interval will be wider than 80% confidence interval.

Learn more about confidence interval at https://brainly.com/question/15712887

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