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.

Respuesta :

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

[tex]\frac{12}{60}\times 100\\\\=\frac{1}{5}\times 100\\\\=20\%[/tex]

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.

From the information given, Mr. Rodriguez made a reasonable inference.

Since Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials and 12 chose science fiction, then the percentage will be:

= 12/60 = 20%.

Based on this information, out of 150 students, the number that will prefer science fiction will be:

= 20% × 150

= 1/5 × 150

= 30 students.

His explanation is reasonable.

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