Which of the following surveys probably would best represent the entire student population?
20 students are randomly selected from the chess club; 4 drive to school.
20 students are randomly selected from the 11th grade; 3 drive to school.
20 students are randomly selected from the school; 5 drive to school.
(b) There are 1600 students at East High.
Using your answer from part (a), estimate the number of students who drive to school.
students
Survey (c) - 20 students randomly selected from the school; 5 drive to school - would best represent the entire student population.
To estimate the number of students who drive to school, we can use the proportion of students who drive to school in the sample from survey (c).
From survey (c), 5 out of 20 students drive to school.
To estimate the number of students who drive to school in the entire student population of 1600 students, we can set up a proportion:
(5/20) = (x/1600)
Cross multiplying, we get:
20x = 5*1600
20x = 8000
Dividing both sides by 20, we get:
x = 400
Therefore, we can estimate that approximately 400 students drive to school at East High.