Problem

A survey was given to a randorn sample of voters in the United States to ask about their preference for a presidential candidate. The percentage of people who said they preferred Candidate A was $55 \%$. The margin of error for the survey was $3.5 \%$. Write a confidence interval for the percentage of the population that supports Candidate A.

Answer

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Answer

\(\boxed{Confidence\ Interval: (51.5%, 58.5%)}\)

Steps

Step 1 :Given percentage: \(55%\) and margin of error: \(3.5%\)

Step 2 :Calculate lower bound: \(55 - 3.5 = 51.5%\)

Step 3 :Calculate upper bound: \(55 + 3.5 = 58.5%\)

Step 4 :\(\boxed{Confidence\ Interval: (51.5%, 58.5%)}\)

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