Question

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

Answer 1

Answer: Option C

(C) No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

Explanation:

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

(A) Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.

(B) Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.

(C) No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. <=========+

(D) No, Mr. Hernandez’s sample is not large enough compared to the population.

Answer 2

No he did not because 20% of 250 is 50 and there are 90 students not 50 students!! Hope this helped you a lot !!!