Question

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. yules sample is biased and too small to be representative of the population. yes, mr. yules sample is small and biased, so it is representative of the population. no, mr. yules percentage is too large. he should have used 6%. yes, mr. yules sample is random and representative of the population.

Explanation:

Mr. Yule selected 50 students randomly from each grade level. Random selection helps in getting a representative sample. Calculating the proportion of students who chose science in the sample ($\frac{12}{50}= 0.24$ or 24%, close to 25%) and considering the random - sampling method, the sample is likely to be representative of the population.

Answer:

Yes, Mr. Yule's sample is random and representative of the population.