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

The fair assumption was made by Mr. Rodriguez. His surveys were random, non-biased and very large according to the population of the schools. Of 60, 12 is 20%.

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Answer 2

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

Explanation:

the ratio in the sample is 12/60, or 0.2