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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 & Wilson & 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 Wilson?



Answer :

GinnyAnswer
To determine what percentage of females polled supported Wilson, follow these steps:

1. Identify the given values:
- The proportion of females who supported Wilson: [tex]\(0.24\)[/tex]
- The total proportion of females: [tex]\(0.54\)[/tex]

2. Use the formula for percentage:
[tex]\[ \text{Percentage of females who supported Wilson} = \left(\frac{\text{Proportion of females who supported Wilson}}{\text{Total proportion of females}}\right) \times 100 \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Percentage of females who supported Wilson} = \left(\frac{0.24}{0.54}\right) \times 100 \][/tex]

4. Calculate the result:
- First, compute the fraction:
[tex]\[ \frac{0.24}{0.54} \approx 0.4444 \][/tex]
- Then multiply by 100 to convert it to a percentage:
[tex]\[ 0.4444 \times 100 = 44.4444\% \][/tex]

Therefore, [tex]\(44.44\%\)[/tex] of females polled supported Wilson.

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