Question

A magazine provided results from a poll of 20002000 adults who were asked to identify their favorite pie. Among the 20002000 ​respondents, 1414​% chose chocolate​ pie, and the margin of error was given as plus or minus±33 percentage points. What values do ModifyingAbove p with caretp​, ModifyingAbove q with caretq​, ​n, E, and p​ represent? If the confidence level is 9999​%, what is the value of alphaα​?

Answer 1

Explanation:

Given that:

The sample size n = 2000

The sample proportion
`\hat p` = 0.14

If
`\hat p` = 0.14, then
`\hat q` = 1 -
`\hat p`

`\hat q` = 1 - 0.14

`\hat q` = 0.86

The margin of error = 0.03

Given that the confidence interval level = 99%

The significance level is the value of alpha ∝ = 1 - 0.99

∝ = 0.01