Question

60 randomly chosen students from each grade level at Willow Brook school about their favorite types of reading material of those 60 students 12 chose science fiction Mr. Rodriguez use the data to draw the inference that about 20% of middle school students prefer to read science-fiction if 150 students attend school,

did he make it make a reasonable inference explain

Answer 1

Mr. Rodriguez made a reasonable estimate for the approximate percentage of students that prefer science fiction, because if 12/60 is equivalent to 30/150 which refers to the number of students who can be assumed to prefer science Fiction out of the whole school. Considering we need to identify what 30/150 as a percentage is, we can reduce it down to 1/5 to make I easier, then divide 1 by 5 to get .2

.2 as a percentage is 20%, so his inference was indeed reasonable

Explanation:

Answer 2

Answer: Yes, he makes a reasonable inference.

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

12/60 x 100

= 1/5 x 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 yes, he makes a reasonable inference.