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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]\[
\begin{tabular}{|c|c|c|c|}
\hline & Own a bird & \begin{tabular}{c}
Do not own a \\
bird
\end{tabular} & Total \\
\hline Own fish & 0.04 & 0.08 & 0.12 \\
\hline Do not own fish & 0.02 & 0.86 & 0.88 \\
\hline Total & 0.06 & 0.94 & 1.00 \\
\hline
\end{tabular}
\][/tex]

What percentage of the people surveyed own fish?

A. [tex]$0.12 \%$[/tex]

B. [tex]$8 \%$[/tex]

C. [tex]$4 \%$[/tex]

D. [tex]$12 \%$[/tex]

Sagot :

To determine the percentage of people who own fish based on the given survey data, follow these steps:

1. Identify the relative frequencies involved:
- Proportion of people who own both fish and birds: 0.04
- Proportion of people who own fish but not birds: 0.08

2. Calculate the total relative frequency of people who own fish:
[tex]\[ \text{Total relative frequency of fish owners} = \text{Proportion who own fish and birds} + \text{Proportion who own fish but not birds} \][/tex]
Substituting the given values:
[tex]\[ \text{Total relative frequency of fish owners} = 0.04 + 0.08 = 0.12 \][/tex]

3. Convert the total relative frequency to a percentage:
[tex]\[ \text{Percentage of fish owners} = 0.12 \times 100 = 12.0\% \][/tex]

Therefore, the percentage of people surveyed who own fish is [tex]\( 12\% \)[/tex].

The correct answer is D. [tex]\( 12\% \)[/tex].