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



Answer :

To determine the percentage of Cherry Hill residents polled who supported Gartman, follow these steps:

1. Understand the given data:
The relative frequency table provides the proportions of residents in Cherry Hill and Mountain View who support each candidate.

```
\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}
```

2. Identify the specific data point:
We are interested in the proportion of Cherry Hill residents who support Gartman. From the table, we see that this proportion is 0.30.

3. Convert the proportion to a percentage:
To convert a proportion (which is a decimal) to a percentage, you multiply by 100.

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

4. Select the correct answer:
The percentage of Cherry Hill residents who supported Gartman is therefore [tex]\( 30\% \)[/tex].

Thus, the correct answer is [tex]\(\boxed{30\%}\)[/tex].