Question

A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 11​% 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 95​%, what is the value of alpha​?

Answer 1

Answer:

$\r p = 0.11$

$\r q = 0.89$

n = 2000

$E = \pm 5$

p - population proportion

$\alpha = 5$%

Step-by-step explanation:

From the question we are told that  

   The  sample size is  $n = 2000$

   The  proportion of the population for chocolate pie is  $p_c = 0.11$

   The  margin of error is  $E = \pm 5$%  

Now in the question we are asked to provide the meaning of  

       $\r p , \r q , n , E , and\ p$

Now  $\r p$ is the sample proportion of the population that those  chocolate​ pie as  favorite pie of   which is given from the question as 0.11

Now

         $\r q$ is the sample  proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as

      $\r q = 1 - \r p$

      $\r q = 1 - 0.11$

       $\r q = 0.89$

       n is the sample size which is given as  n =  2000

       E is the margin of  error which given as  $E = \pm 5$%

       p is the population proportion

Given that the confidence level is  95 %  then the level of significance is  mathematically evaluated as

        $\alpha =(100 - 95)$%

        $\alpha =$5%