Question

Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain.

Answer 1

Answer:

Mr. Rodriguez made a reasonable inference. His sampling was random, nonbiased, and reasonably large compared to the school population. 12 is 20% of 60.

Step-by-step explanation: this is the exact answer there looking for.

Answer 2

Answer: Yes, he makes a reasonable inference.

Step-by-step explanation:

Since we have given that

Number of students = 60

Number of chosen science students = 12

Percentage of students who chose science is given by

$\frac{12}{60}\times 100\\\\=\frac{1}{5}\times 100\\\\=20\%$

Since Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction.

So, he makes a reasonable inference.