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

Sagot :

GinnyAnsweridn
Let's break down the question carefully:

We are given data in a relative frequency table that shows the proportions of residents from two communities (Cherry Hill and Mountain View) who support each of the two candidates (Zhang and Gartman).

The table presents the following information:
- In Cherry Hill, 0.32 of the residents support Zhang.
- In Cherry Hill, 0.30 of the residents support Gartman.
- The total proportion of residents from Cherry Hill who participated in the survey is 0.62 (which is the sum of those supporting Zhang and Gartman).

The question asks for the percentage of Cherry Hill residents who supported Zhang.

To convert a proportion (or relative frequency) to a percentage, we multiply by 100.

Given that 0.32 of the Cherry Hill residents support Zhang:
[tex]\[ 0.32 \times 100 = 32\% \][/tex]

Therefore, the percentage of Cherry Hill residents polled who supported Zhang is:
[tex]\[ \boxed{32\%} \][/tex]

Hence, the correct answer is:
[tex]\[ \text{B. } 32\% \][/tex]
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