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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 males polled supported Wilson?

A. About 39%
B. About 42%
C. 46%
D. 18%


Sagot :

To determine the percentage of males polled that supported Wilson, we need to follow these steps:

1. Identify the relative frequency of males supporting Wilson:
From the given table, it is stated that the relative frequency of males supporting Wilson is 0.18.

2. Identify the total relative frequency of males polled:
From the table, the total relative frequency of all males polled is given as 0.46.

3. Calculate the percentage of males supporting Wilson:
The formula to calculate the percentage is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Relative frequency of males supporting Wilson}}{\text{Total relative frequency of males}} \right) \times 100 \][/tex]
Substituting the values from the table:
[tex]\[ \text{Percentage} = \left( \frac{0.18}{0.46} \right) \times 100 \][/tex]

4. Perform the division and multiplication:
[tex]\[ \text{Percentage} = \frac{0.18}{0.46} \approx 0.3913043478 \][/tex]
[tex]\[ \text{Percentage} \approx 0.3913043478 \times 100 \approx 39.13043478260869 \% \][/tex]

5. Interpret the result:
Rounding this value, we get approximately [tex]\(39\%\)[/tex].

Thus, the percentage of males polled that supported Wilson is approximately [tex]\(39\%\)[/tex]. Therefore, the correct answer is:

A. About [tex]$39 \%$[/tex]