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?

A. About [tex]$44\%$[/tex]
B. About [tex]$42\%$[/tex]
C. [tex]$24\%$[/tex]
D. [tex]$54\%$[/tex]



Answer :

To determine the percentage of females who supported Wilson from the data provided in the relative frequency table, follow these steps:

1. Identify the relative frequency for females supporting Wilson: Look at the cell that corresponds to females and Wilson in the table. The value given is 0.24.

2. Convert the relative frequency to a percentage: The relative frequency is provided as a decimal. To convert a decimal to a percentage, multiply by 100.

[tex]\[ 0.24 \times 100 = 24 \][/tex]

3. Draw the conclusion: After converting the relative frequency to a percentage, we find that 24% of the females polled supported Wilson.

Thus, the correct answer is:
C. [tex]\( 24 \% \)[/tex]