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A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. among the 1500 ​respondents, 12​% chose chocolate​ pie, and the margin of error was given as plus or minus3 percentage 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​? the value of modifyingabove p with caret is ▼ the value of modifyingabove q with caret is ▼ the sample size. found from evaluating 1 minus modifyingabove p with caret . the population proportion. the margin of error. the sample proportion. the value of n is ▼ the population proportion. the margin of error. the sample size. found from evaluating 1 minus modifyingabove p with caret . the sample proportion. the value of e is ▼ the margin of error. the sample proportion. the sample size. the population proportion. found from evaluating 1 minus modifyingabove p with caret .

User Nurul
by
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2 Answers

6 votes

The value of
\hat p will be the same as the percentage of the 1500 respondents who like chocolate pie. And that percentage as per the data in the question is 12%. Therefore,
\hat p=0.12.

The value of
\hat q simply is
\hat q=1-\hat p, therefore,
\hat q=1-0.12=0.88.

The sample size is 1500. Therefore,
n=1500

The margin of error is given as
\pm 3%. Therefore,
E=0.03.

The value of
\alpha is calculated as
\alpha=1-Confidence Level


\alpha=1-0.99=0.01

User Mohammadjh
by
8.1k points
5 votes

Answer:

0.01 is alpha level

Explanation:

Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.

i.e. p = proportion of people who like chocolate pie = 0.12

Margin of error = ±0.03

The value of q =1-\hat p , =1-0.12 = 0.88


The sample size n is given as 1500. Therefore, n=1500

The confidence level is given as 99%

Hence alpha = 1- confidence level


=1-0.99=0.01

Hence answer is 0.01



User Eliezer
by
8.7k points
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