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In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish. The survey data are shown in the relative frequency table.

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline & \text{Own a bird} & \text{Do not own a bird} & \text{Total} \\
\hline \text{Own fish} & 0.04 & 0.06 & \\
\hline \text{Do not own fish} & 0.02 & 0.88 & \\
\hline \text{Total} & & & \\
\hline
\end{tabular}
\][/tex]

What percentage of the people surveyed own fish?

A. [tex]$6\%$[/tex]
B. [tex]$4\%$[/tex]
C. [tex]$10\%$[/tex]
D. [tex]$0.1\%$[/tex]


Sagot :

To determine what percentage of the people surveyed own fish, we need to consider the portions of the survey respondents who own fish, regardless of whether they own a bird.

The relative frequency table provides us with the following information:
- The relative frequency of customers who own both a bird and fish is 0.04.
- The relative frequency of customers who do not own a bird but own fish is 0.06.

To find the total relative frequency of customers who own fish, we add these two relative frequencies together:
[tex]\[ \text{Total relative frequency of fish owners} = 0.04 + 0.06 \][/tex]

Thus:
[tex]\[ \text{Total relative frequency of fish owners} = 0.10 \][/tex]

To convert this relative frequency into a percentage, we multiply by 100:
[tex]\[ \text{Percentage of fish owners} = 0.10 \times 100 = 10\% \][/tex]

Therefore, the percentage of the people surveyed who own fish is:
[tex]\[ \boxed{10\%} \][/tex]

The correct answer is:
C. [tex]\( 10\% \)[/tex]