To determine what percentage of the people surveyed own fish, we'll analyze the data provided in the relative frequency table. The table shows the relative frequencies (proportions) of people who own fish, do not own fish, and whether they own birds or not. Let's break this down step by step:
1. Identify given values from the table:
- The relative frequency of people who own both fish and birds is [tex]\(0.04\)[/tex].
- The relative frequency of people who own fish but do not own birds is [tex]\(0.08\)[/tex].
2. Calculate the total relative frequency of people who own fish:
This is done by summing the relative frequencies of people who own fish, regardless of whether they own birds:
[tex]\[
\text{Total who own fish} = \text{Own fish and own bird} + \text{Own fish and do not own bird}
\][/tex]
Using the given values:
[tex]\[
\text{Total who own fish} = 0.04 + 0.08 = 0.12
\][/tex]
3. Convert the total relative frequency into a percentage:
To convert the relative frequency to a percentage, we multiply by 100:
[tex]\[
\text{Percentage of people who own fish} = 0.12 \times 100 = 12\%
\][/tex]
4. Determine the correct answer choice:
The calculated percentage is [tex]\(12\%\)[/tex]. We look at the provided answer choices and match the result:
A. [tex]\(8\%\)[/tex]
B. [tex]\(0.12\%\)[/tex]
C. [tex]\(12\%\)[/tex]
D. [tex]\(4\%\)[/tex]
Our calculated result is [tex]\(12\%\)[/tex], which corresponds to answer choice C.
Therefore, the percentage of the people surveyed who own fish is [tex]\(12\%\)[/tex], corresponding to answer choice C.
