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 below.

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

What percentage of the people surveyed own fish?

A. 0.12%
B. 8%
C. 4%
D. 12%



Answer :

To determine the percentage of people surveyed who own fish, we need to carefully analyze the given relative frequencies in the table.

The relative frequency table shows the proportion of survey respondents who fall into each category (owning birds and fish or not owning either). Specifically:

- 0.04 of the surveyed population owns both birds and fish.
- 0.00 of the surveyed population owns fish but not birds (The corresponding value is missing but logically this must be 0).
- 0.02 of the surveyed population owns birds but not fish.
- 0.08 of the surveyed population doesn't own either birds or fish.

First, let's find the total fraction of people who own fish. This includes those who own both fish and birds, and those who own fish but not birds.

The calculation is:
[tex]\[ \text{Total fraction of people who own fish} = 0.04 + 0.00 = 0.04 \][/tex]

Next, we convert the fraction to a percentage by multiplying by 100.

[tex]\[ \text{Percentage of people who own fish} = 0.04 \times 100 = 4 \% \][/tex]

Therefore, the percentage of people surveyed who own fish is:
C. [tex]\( 4 \% \)[/tex]