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A random sample of $35$ four-door passenger vehicles had a mean gas mileage, in miles per gallon $(\mathrm{mpg})$, of $25.9 \mathrm{mpg}$. The estimate had a margin of error of $2.6 \mathrm{mpg}$ at a $98 \%$ confidence level. Of the following, which is the most plausible value for the true mean gas mileage of all four-door passenger vehicles?$\newline$Choose $1$ answer:$\newline$(A) $24 \mathrm{mpg}$$\newline$(B) $29 \mathrm{mpg}$$\newline$(C) $32 \mathrm{mpg}$$\newline$(D) $35 \mathrm{mpg}$