Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]


Sagot :

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].