Question

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

This table presents data from two random samples of 100 students each, showing the 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 percentage of students who own a bird based on the two samples, we first need to calculate the total number of students who own a bird across both samples and then divide that by the total number of students in both samples.

From the data provided:

- In Sample 1, 8 students own a bird.
- In Sample 2, 12 students own a bird.

Now calculate the total number of bird owners:

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

Next, calculate the total number of students in both samples:

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

Now, to find the percentage of students who own a bird:

\[
\text{Percentage of bird owners} = \left(\frac{\text{Total bird owners}}{\text{Total students}}\right) \times 100 = \left(\frac{20}{200}\right) \times 100 = 10\%
\]

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