Question

Alexi surveys a random sample of 100 students at his school and finds that 50 of them usually walk to school. There are 2,000 students at the school. Is it reasonable to think that out of the 2,000 students 400 of them walk to school? Explain why or why not.

Answer 1

Answer:

-Unreasonable

-It greatly deviates from the expected value of 1000 by 600 students(60% off)

Step-by-step explanation:

-The proportion of those that walk can be calculated from the sample using the formula:

$p=\frac{x}{n}\\\\=\frac{50}{100}\\\\=0.5$

#The expected number of students that walk from a population,X =2000 is therefore calculated as:

$E(X)=np\\\\=0.5\times 2000\\\\=1000$

Hence, 1000 students are expected to walk from a population of 2000

Therefore, it is unreasonable to say that 400 students will walk as it greatly deviates from the expected value of 1000 by 600 students