Question

lincoln high wants to estimate the number of students who drive to school. answer the following.
(a) which of the following surveys probably would best represent the entire student population?
20 students are randomly selected from the school; 2 drive to school.
20 students are randomly selected from the 12th grade; 6 drive to school.
20 students are randomly selected from the science club; 4 drive to school.
(b) there are 1800 students at lincoln high. using your answer from part (a), estimate the number of students who drive to school.
students

Explanation:

Step1: Determine the best survey for the entire student population

A random sample from the whole school (20 students randomly selected from the school) is more representative than a sample from a specific club (Science Club) or a specific grade (12th grade).

Step2: Calculate the estimate for part (b)

If in the sample of 20 students, 2 drive to school, the proportion is $\frac{2}{20}=\frac{1}{10}$.
For 1800 students, the estimate is $1800\times\frac{1}{10}=180$.

Answer:

(a) 20 students are randomly selected from the school; 2 drive to school.
(b) 180