A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 12% chose chocolate pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret, ModifyingAbove q with caret, n, E, and p represent? If the confidence level is 99%, what is the value of alpha?
Accepted Solution
A:
Answer with explanation:The confidence interval for population proportion is given by :_[tex]p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}[/tex]Where : [tex]\sqrt{\dfrac{p(1-p)}{n}}=E[/tex] is the margin of error , n is the sample size , p is the sample proportion of success and [tex]\alpha[/tex] is the significance level.Given : Confidence level : [tex]0.99[/tex]Then , Significance level : [tex]\alpha: 1-0.99=0.01[/tex]Sample size : [tex]n= 1500[/tex]Sample proportion of respondents chose chocolate pie: [tex]p=0.12[/tex]Margin of error : [tex]E=\pm0.05[/tex]