A random sample of 400 adults in a city finds that 64% have visited a museum in the past year, with a margin of error of ±4.7 percentage points at 95% confidence. Which of the following is the best interpretation of the margin of error?
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A
We are 95% confident that the true population proportion is within 4.7 percentage points of 64%.
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B
4.7% of the adults in the sample gave incorrect answers.
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C
The sample proportion will vary by up to 4.7% if the survey is repeated.
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D
The true proportion is guaranteed to be within 4.7 percentage points of 64%.