Answer:
Yes, the sample closely estimates the percentage of students in the school.
Step-by-step explanation:
Given that:
Percentage of students in school who own a bike = 80%
Ratio of students who own a bike to students who do not own a bike = 8 : 2
To find:
Whether the sample closely estimates the percentage of students who own a bike ?
Solution:
First of all, let us convert the ratio in percentage form.
Percentage formula is given as follows:
[tex]\dfrac{Favorable\ cases}{Total\ Number\ of\ cases}\times 100[/tex]
Here,the ratio given is 8:2.
Let number of students who ride bike = [tex]8x[/tex]
Let number of students who do not ride bike = [tex]2x[/tex]
Total number of students = [tex]10x[/tex]
So, the percentage of students who ride a bike:
[tex]\dfrac{8x}{10x}\times 100 = \bold{80\%}[/tex]
So, the sample percentage is equal to the percentage of students in school who own a bike.
Therefore, the sample closely estimates the percentage of students who own a bike.