Justifying a Claim Based on a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

A poll reports 52% support a candidate, with margin of error \pm3 percentage points (95% confidence).

Which is the best interpretation?

A
$Exactly 52% support the candidate.$
B
$We are 95% confident the candidate's true support is between 49% and 55%.$
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C
$The probability the candidate has 52% support is 0.95.$
D
$95% of voters support the candidate within 3 percentage points.$

Explanation

The CI is point estimate \pm ME = 52% \pm 3% = (49%, 55%).

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