Question

east 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?
○ 50 students are randomly selected from the 11th grade; 8 drive to school.
○ 50 students are randomly selected from the glee club; 10 drive to school.
○ 50 students are randomly selected from the school; 9 drive to school.
(b) there are 1450 students at east high.
using your answer from part (a), estimate the number of students who drive to school.
□ students

Explanation:

Step1: Identify representative sample

A sample from the entire school is the only one that reflects the full student population, so the correct option is "50 students are randomly selected from the school; 9 drive to school."

Step2: Calculate sample proportion

Find the proportion of drivers in the sample.
$\text{Proportion} = \frac{9}{50}$

Step3: Scale to total population

Multiply the proportion by the total number of students (1450) to estimate the total drivers.
$\text{Estimated number} = 1450 \times \frac{9}{50}$

Step4: Compute the final value

Simplify the expression:
$1450 \times \frac{9}{50} = 29 \times 9 = 261$

Answer:

(a) 50 students are randomly selected from the school; 9 drive to school.
(b) 261