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

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A survey was conducted in Madison to estimate the percent of adult residents who support the addition of a gas station at a popular intersection in their town. Based on the survey, it is estimated that $27\%$ of all adult residents of Madison support the addition of a gas station at a popular intersection in their town, with an associated margin of error of $6\%$. Which of the following is the most appropriate conclusion about all adult residents of Madison?

A

Plausible values for the percent of all adult residents of Madison who support the addition of a gas station at a popular intersection in their town are between $21\%$ and $33\%$.

B

Plausible values for the percent of all adult residents of Madison who support the addition of a gas station at a popular intersection in their town are either less than $21\%$ or more than $33\%$.

C

The addition of a gas station at a popular intersection in the town is supported by exactly $21\%$ of all adult residents of Madison.

D

The addition of a gas station at a popular intersection in the town is supported by more than $33\%$ of all adult residents of Madison.