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A school survey asked students which candidate they supported for class president. The survey data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|}
\hline
& Wilbon & Martinez & Total \\
\hline
Females & 0.24 & 0.30 & 0.54 \\
\hline
Males & 0.18 & 0.28 & 0.46 \\
\hline
Total & 0.42 & 0.58 & 1.0 \\
\hline
\end{tabular}

What percentage of females polled supported Martinez?

A. About [tex]$54 \%$[/tex]

B. About [tex]$56 \%$[/tex]

C. [tex]$58 \%$[/tex]

D. [tex]$30 \%$[/tex]

Sagot :

GinnyAnsweridn
To solve this problem, we need to determine what percentage of the females surveyed supported Martinez for class president.

1. From the given survey table, we know that:
- The total proportion of females surveyed is [tex]\(0.54\)[/tex].
- The proportion of females who supported Martinez is [tex]\(0.30\)[/tex].

2. To find the percentage of females who supported Martinez, we take the proportion of females who supported Martinez and divide it by the total proportion of females. This gives us the fraction of female supporters of Martinez among all surveyed females.

3. To convert this fraction into a percentage, we multiply by 100.

Hence, the required percentage can be calculated as follows:
[tex]\[ \left( \frac{0.30}{0.54} \right) \times 100 \][/tex]

This calculation, when done, results in approximately [tex]\(55.55555555555555\%\)[/tex].

Therefore, the correct answer is:
B. About [tex]\(56\%\)[/tex]
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