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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 & Olunloyo & 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 Mountain View residents polled supported Olunloyo?

A. [tex]$37.5\%$[/tex]
B. [tex]$30\%$[/tex]
C. About [tex]$47\%$[/tex]
D. [tex]$18\%$[/tex]

Sagot :

GinnyAnswer
Let's consider the relative frequency table provided for the two communities, Cherry Hill and Mountain View, which shows the proportion of residents supporting each candidate:

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

From the table, we see that the relative frequency of Mountain View residents who support Olunloyo is 0.18.

To find the percentage of Mountain View residents who supported Olunloyo, we need to convert the relative frequency (0.18) into a percentage. This is done by multiplying the relative frequency by 100:

[tex]\[ \text{Percentage} = 0.18 \times 100 = 18\% \][/tex]

Thus, the percentage of Mountain View residents polled who supported Olunloyo is [tex]$18\%$[/tex].

So the correct answer is:

D. [tex]$18 \%$[/tex]
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