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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 streetlights at every corner in their town. Based on the survey, it is estimated that $40\%$ of all adult residents of Madison support the addition of streetlights at every corner 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 streetlights at every corner in their town are between $34\%$ and $46\%$.

B

The addition of streetlights at every corner in the town is supported by exactly $34\%$ of all adult residents of Madison.

C

Plausible values for the percent of all adult residents of Madison who support the addition of streetlights at every corner in their town are either less than $34\%$ or more than $46\%$.

D

The addition of streetlights at every corner in the town is supported by more than $46\%$ of all adult residents of Madison.