at lawson middle school, mr. hernandez asked 90 randomly selected students from each grade level for their…

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?\nyes, mr. hernandezs sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.\nyes, mr. hernandezs sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.\nno, mr. hernandezs sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.\nno, mr. hernandezs sample is not large enough compared to the population.

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?\nyes, mr. hernandezs sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.\nyes, mr. hernandezs sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.\nno, mr. hernandezs sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.\nno, mr. hernandezs sample is not large enough compared to the population.

Answer

Explanation:

Step1: Calculate percentage in sample

Calculate what percentage 28 is of 90. The formula for percentage is $\frac{28}{90}\times100%\approx 31.1%$.

Step2: Analyze Mr. Hernandez's claim

Mr. Hernandez claimed that 28 is 20% of 250. But we first focus on the sample - 28 is not 20% of 90. Also, the sample size of 90 (randomly selected from each grade level) is relatively large compared to the population of 250 middle - school students and is random and not biased.

Answer:

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