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Math·Problem-Solving and Data Analysis·Inference from sample statistics and margin of error

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A sample consisted of 750 people selected at random from all adult residents in a certain city. Based on the sample, the estimated percentage of all adult residents who think taxes are too high was 62%, with an associated margin of error of 3.47%. Which of the following best describes the range of plausible values for the percentage of all adult residents in the city who think taxes are too high.

A

Any value greater than 65.47%

B

Any value greater than 58.53% and less than 65.47%

C

Any value less than 58.53% or greater than 65.47%

D

Any value less than 58.53%