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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
51.5% and
56.5% 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 $51.5 \%$ and $56.5 \%$ 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

51.5 \%

and

56.5 \%

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:________

Find Margin of Error: To find the margin of error, subtract the lower bound of the confidence interval from the upper bound and then divide by $2$ . $\newline$ Calculation: $(56.5\% - 51.5\%) / 2$
Subtract Upper and Lower Bounds: Now, do the subtraction: $56.5\% - 51.5\% = 5\%$
Divide by $2$ : Next, divide the result by $2$ : $5\% / 2 = 2.5\%$

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