The data from two random samples of 100 students regarding what pet they own is given below.
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?
The total number of students who own a bird as a pet in both samples is 8 + 12 = 20.
The total number of students in both samples combined is 100 + 100 = 200.
Therefore, the percentage of students who own a bird as a pet is:
(20/200) x 100% = 10%
So, 10% of students in these samples own a bird as a pet.
To find the percentage of students who own a bird as a pet, we need to calculate the total number of students who own a bird in both samples and then divide it by the total number of students in both samples.
In Sample 1, there are 8 students who own a bird out of a total of 100 students in Sample 1.
In Sample 2, there are 12 students who own a bird out of a total of 100 students in Sample 2.
So, the total number of students who own a bird in both samples is 8 + 12 = 20.
The total number of students in both samples is 100 + 100 = 200.
To find the percentage, we divide the number of students who own a bird by the total number of students and then multiply by 100:
(20 / 200) * 100 = 10%
Therefore, based on the two samples, 10% of students own a bird as a pet.