4
AssignmentLong Text

Inferences and Predictions

Question 4 • Pre-Algebra B

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

Answer:

Mr. Rodriguez made a reasonable inference. The sample was randomly chosen and representative of the different grade levels, which reduces bias. Also, 12 out of 60 students is exactly 20% (12/60 = 0.2), and a sample size of 60 out of 150 total students is a large enough percentage of the population to draw a valid conclusion.

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