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A survey of two communities asked residents which candidate they supported for a local election. The survey data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|}
\hline & Walker & Gartman & Total \\
\hline Cherry Hill & 0.32 & 0.30 & 0.62 \\
\hline Mountain View & 0.20 & 0.18 & 0.38 \\
\hline Total & 0.52 & 0.48 & 1.0 \\
\hline
\end{tabular}

What percentage of the Cherry Hill residents polled supported Gartman?

A. [tex]$32 \%$[/tex]

B. About [tex]$48 \%$[/tex]

C. [tex]$30 \%$[/tex]

D. [tex]$62.5 \%$[/tex]

Sagot :

GinnyAnswer
Let's analyze the given data from the survey for Cherry Hill residents.

The table shows the relative frequencies of support for the two candidates:

Cherry Hill:
- Walker: 0.32
- Gartman: 0.30
- Total: 0.62

To find out the percentage of Cherry Hill residents who support Gartman, we need to convert the relative frequency (which is given in decimal form) into a percentage.

The relative frequency of support for Gartman among Cherry Hill residents is 0.30.

To convert this into a percentage, you multiply by 100:
[tex]\[ 0.30 \times 100 = 30\% \][/tex]

Thus, the percentage of Cherry Hill residents who supported Gartman is:
[tex]\[ \boxed{30\%} \][/tex]

Therefore, the correct answer is:
C. [tex]\(30\%\)[/tex]
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