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Question 14 of 25

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

What percentage of the people surveyed own fish?

A. [tex]\(0.1\%\)[/tex]

B. [tex]\(4\%\)[/tex]

C. [tex]\(6\%\)[/tex]

D. [tex]\(10\%\)[/tex]

Sagot :

GinnyAnsweridn
Let's analyze the data from the given relative frequency table to determine the percentage of people surveyed who own fish.

The table provides the following proportions:
- Proportion of people who own both a bird and a fish: [tex]\(0.04\)[/tex]
- Proportion of people who own a fish but do not own a bird: [tex]\(0.06\)[/tex]
- Proportion of people who do not own a fish but own a bird: [tex]\(0.02\)[/tex]
- Proportion of people who do not own a fish and do not own a bird: [tex]\(0.88\)[/tex]

To find the total proportion of people who own fish, we need to add together the proportions of those who:
- Own both a bird and a fish.
- Own fish but do not own a bird.

So, we calculate:
[tex]\[ 0.04 + 0.06 = 0.10 \][/tex]

This proportion represents the fraction of the total survey respondents who own fish. To express this as a percentage, we then multiply by 100:
[tex]\[ 0.10 \times 100 = 10\% \][/tex]

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

So, the correct answer is:
D. [tex]\(10 \%\)[/tex]
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