Answered

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.

\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 & \\
\hline Do not own fish & 0.02 & 0.86 & \\
\hline Total & & & \\
\hline
\end{tabular}

What percentage of the people surveyed own fish?

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

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

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

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



Answer :

GinnyAnswer
We need to determine what percentage of the surveyed people own fish.

From the survey data given in the relative frequency table, we know the following:
- The relative frequency of people who own both a bird and a fish is 0.04.
- The relative frequency of people who do not own a bird but own a fish is 0.08.

First, we calculate the total relative frequency of people who own fish by adding these two relative frequencies:

[tex]\[ \text{Relative frequency of owning fish} = 0.04 + 0.08 = 0.12 \][/tex]

The relative frequency 0.12 represents the proportion of the entire group of 150 customers. To find the percentage, we convert this relative frequency to a percentage by multiplying by 100:

[tex]\[ \text{Percentage of people who own fish} = 0.12 \times 100 = 12\% \][/tex]

Thus, the percentage of people surveyed who own fish is:

[tex]\[ \boxed{12\%} \][/tex]

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