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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between
31% and
35% of the population preferred Candidate A. What is the margin of error on the survey? Do not write
+- on the margin of error.
Answer:_______

A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between $31 \%$ and $35 \%$ of the population preferred Candidate A. What is the margin of error on the survey? Do not write $\pm$ on the margin of error. $\newline$ Answer:______

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Interpret confidence intervals for population means

Full solution

Q. A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between

31 \%

and

35 \%

of the population preferred Candidate A. What is the margin of error on the survey? Do not write

\pm

on the margin of error.

\newline

Answer:______

Margin of Error Definition: question_prompt: What is the margin of error for the survey on presidential candidate preference?
Calculate Point Estimate: The margin of error is the difference between the upper value of the confidence interval and the point estimate, or the difference between the point estimate and the lower value of the confidence interval. Since we don't have a point estimate, we'll use the midpoint of the confidence interval as the point estimate.
Calculate Midpoint: Calculate the midpoint of the confidence interval: $(31\% + 35\%) / 2 = 66\% / 2 = 33\%$ . This is our point estimate.
Calculate Margin of Error: Calculate the margin of error: $35\% - 33\% = 2\%$ .

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