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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. About [tex]$48\%$[/tex]
B. [tex]$32\%$[/tex]
C. [tex]$30\%$[/tex]
D. [tex]$62.5\%$[/tex]


Sagot :

To determine the percentage of Cherry Hill residents who supported Gartman, let's analyze the data given in the relative frequency table.

The table provides the relative frequencies for the support of two candidates, Walker and Gartman, in two communities, Cherry Hill and Mountain View:

[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Walker} & \text{Gartman} & \text{Total} \\ \hline \text{Cherry Hill} & 0.32 & 0.30 & 0.62 \\ \hline \text{Mountain View} & 0.20 & 0.18 & 0.38 \\ \hline \text{Total} & 0.52 & 0.48 & 1.0 \\ \hline \end{array} \][/tex]

From this table:
- The relative frequency of residents from Cherry Hill who support Gartman is \(0.30\).

To convert this relative frequency to a percentage, we multiply by 100:

[tex]\[ 0.30 \times 100 = 30\% \][/tex]

So, the percentage of Cherry Hill residents polled who supported Gartman is:

C. 30%