A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12% chose chocolate pie, and the margin of error was given as plus or minus3 percentage points. Given specific sample data, which confidence interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it wider?

The 95% confidence interval has a higher critical value, so it is wider.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The margin of error of the interval is:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

80% confidence level

So , z is the value of Z that has a pvalue of , so .

The 95% confidence interval has a higher critical value, so it is wider.

the f

last graph i believe

step-by-step explanation:

worked it out i believe