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An engineering student randomly sampled the train arrival times at a nearby train station. Based on the results, the student estimates that $92 \%$ of the trains arrived within $2$ minutes of their scheduled arrival times. The margin of error for this estimation is $3 \%$. Which of the following is the most appropriate conclusion about all train arrival times at the station, based on the given estimate and margin of error?$\newline$Choose $1$ answer:$\newline$(A) It is plausible that $89 \%$ and $95 \%$ of all trains arrive within $2$ minutes of their scheduled arrival times.$\newline$(B) Exactly $92 \%$ of all trains arrive within $5$ minutes of their scheduled arrival times.$\newline$(C) The student is $3 \%$ sure that most trains arrive within $2$ minutes of their scheduled arrival times.$\newline$(D) The student is $97 \%$ sure that exactly $92 \%$ of all trains arrive within $2$ minutes of their scheduled arrival times.