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

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To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is $0.2$, with an associated margin of error of $0.08$. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

A

It is plausible that the proportion is between 0.12 and 0.28.

B

It is plausible that the proportion is less than 0.12.

C

The proportion is exactly 0.2.

D

It is plausible that the proportion is greater than 0.28.