SOLUTION: A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 11​% chose chocolate​ pie, and the margin o

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Question 1182736: A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 11​% chose chocolate​ pie, and the margin of error was given as ±4 percentage points. What values do p̂​, q​, ​n, E, and p​ represent?
If the confidence level is 95​%, what is the value of α​?
α​ = __​(Type an integer or a decimal. Do not​ round.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
p-hat is 0.11, the response, and it is the only value given.
q is 1-p or 0.89
E is 0.04
p is the true proportion of all adults and itself unknown, but it exists
alpha is 0.05, because alpha/2 is on each side of the CI and each of those is 0.025.