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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 & Zhang & 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 Zhang?

A. About [tex]$52 \%$[/tex]
B. [tex]$32 \%$[/tex]
C. [tex]$30 \%$[/tex]
D. About [tex]$62 \%$[/tex]

Sagot :

GinnyAnswer
To determine the percentage of Cherry Hill residents who supported Zhang in the local election, we need to look at the relative frequency provided in the table for Cherry Hill and Zhang.

1. Identify the relative frequency of support for Zhang by Cherry Hill residents from the table.
- The table shows that the relative frequency is 0.32.

2. Convert this relative frequency to a percentage. The relative frequency is already a proportion, so to convert it to a percentage, we simply multiply by 100.
- [tex]\(0.32 \times 100 = 32\%\)[/tex]

Hence, the percentage of Cherry Hill residents who supported Zhang is [tex]\(32\%\)[/tex].

The correct answer is:
B. 32%
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