Question

a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as ±4 percentage points. what values do p, q, n, e, and p represent? if the confidence level is 99%, what is the value of α?
the value of p is the sample proportion.
the value of q is found from evaluating 1 - p.
the value of n is the sample size.
the value of e is the margin of error.
the value of p is the population proportion.
if the confidence level is 99%, what is the value of α?
α = □ (type an integer or a decimal. do not round.)

Explanation:

Step1: Recall the formula for confidence level

The confidence level \(C\) and \(\alpha\) are related by the formula \(C = 1-\alpha\).

Step2: Solve for \(\alpha\)

Given \(C = 0.99\) (since \(99\%=0.99\)), we substitute into the formula \(0.99=1 - \alpha\).
Then, we can solve for \(\alpha\) by rearranging the equation: \(\alpha=1 - 0.99\).

Answer:

\(0.01\)