Question

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 ​respondents, 11% chose chocolate​ pie, and the margin of error was given as plus or minus 4percentage 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?

Answer 1

Solution:-

Given

The value of n is calculated as follows:

From the given information, a magazine provides the results from a poll of 1500 adults who are asked to identify their favorite pie. That is, the number of adults represents the sample size. Hence the value of n is 1500

The value of n is 1500.

The value of n is obtained by observing the sample size in the given study.

The value of E is calculated as follows:

From the given information, the margin of error value in the given as 4%. therefore, the value of E is 0.04.

The value of E is 0.04.

The value of E is obtained by observing the margin of error value in the given confidence interval.

The p value is obtained below:

From the given information, 11% of the respondents choose chocolate pie among 1500 adults. That is, the sample proportion value is 0.11. Hence the value of p is 0.11

The p value is 0.11

The value of is obtained below:

From the given information, the confidence level is 99%.

Therefore,

confidence level = 1 -

0.99 = 1 -

= 0.01

The value of is 0.01

The value of is obtained by subtracting the confidence level value from the value 1.

The value of n is 1500

The value of E is 0.04

The value of p is 0.11

The value of is 0.01