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)

1 answer

To find the percentage of students who own a bird as a pet based on the two samples, we first need to determine 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 provided:

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

Now, we can calculate the total number of bird owners:

Total bird owners = Bird owners from Sample 1 + Bird owners from Sample 2
Total bird owners = 8 + 12 = 20 students

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

Total students = Sample 1 total + Sample 2 total
Total students = 100 + 100 = 200 students

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

Percentage of bird owners = (Total bird owners / Total students) × 100
Percentage of bird owners = (20 / 200) × 100 = 10%

Therefore, based on the two samples, 10% of students own a bird as a pet.