At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference? No, Mr. Yule’s sample is biased and too small to be representative of the population. Yes, Mr. Yule’s sample is small and biased, so it is representative of the population. No, Mr. Yule’s percentage is too large. He should have used 6%. Yes, Mr. Yule’s sample is random and representative of the population.
Answers
Given:
Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science.
He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject.
To find:
Whether Mr. Yule made a reasonable inference.
Solution:
Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science.
Percentage of students who chose science = 12/50 × 100 = 24 %
As he used this data to draw the inference that about 25% and if there are 200 students all together,
⇒ 50 × 4 = 200
⇒ 12 × 4 = 48
Percentage of students who chose science = 48/200 × 100 = 24 %
Therefore, we have,
Yes, Mr. Yule’s sample is random and representative of the population.
Answer:
d Yes, Mr. Yule’s sample is random and representative of the population.
Step-by-step explanation:
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