Question

The data from two random samples of 100 students regarding what pet they own is given below.

Number of Students Who Own a Dog, Cat, or Bird.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?

(1 point)
%

Answer 1

To find the overall percentage of students who own a bird as a pet based on the two samples, we need to calculate the total number of students who own a bird and then divide that by the total number of students in both samples.

From the data provided:

- Sample 1: 8 students own a bird
- Sample 2: 12 students own a bird

Now, let's calculate the total number of students who own a bird:

\[
\text{Total owning a bird} = 8 + 12 = 20
\]

Next, we find the total number of students from both samples:

\[
\text{Total students} = 100 + 100 = 200
\]

Now, we can calculate the percentage of students who own a bird:

\[
\text{Percentage} = \left( \frac{\text{Total owning a bird}}{\text{Total students}} \right) \times 100
\]

Substituting the values in:

\[
\text{Percentage} = \left( \frac{20}{200} \right) \times 100 = 10\%
\]

Thus, the percentage of students who own a bird as a pet is **10%**.