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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​?

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Answer:

Step-by-step explanation:

Given that:

The sample size n = 2000

The sample proportion [tex]\hat p[/tex] = 0.14

If  [tex]\hat p[/tex] = 0.14, then [tex]\hat q[/tex]  = 1 -  [tex]\hat p[/tex]

[tex]\hat q[/tex]  = 1 - 0.14

[tex]\hat q[/tex]  = 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

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