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)
%
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1 answer

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

From the data:

  • Sample 1: 8 students own a bird.
  • Sample 2: 12 students own a bird.

Total students who own a bird = 8 (Sample 1) + 12 (Sample 2) = 20 students.

The total number of students surveyed from both samples = 100 (Sample 1) + 100 (Sample 2) = 200 students.

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

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

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