Question

A random sample of individuals over the age of 18 are sampled and asked, "What is your level of education?" The results are summarized below. i. Which education level is the most frequent? High School Diploma ii. If 200 people were in the random sample, how many had a Bachelor's Degree? 38 iii. Use the results above to conjecture the number of individuals who have some college, but no degree in a population sized 6,000. 1020 iv. You examine the percentage of individuals in the entire U.S.A. who have an Associate's Degree. Why might the results differ? The results might differ because there is always sample variability and individuals in the sample may not exactly reflect the make-up of the population.

Answer 1

Check the explanation

Explanation:

1. The level of education as high school diploma (31% area).

Therefore the most frequent education level is High school Diploma.

2. Suppose there are 200 people in random sample. Pie diagram shows the percentage of people with Bachelor's degree is 19%

Therefore the number of people having Bachelor's degree among 200 people = 200×19% = 38

Therefore the answer is 38 .

3. Now the population size given is 6000. The percentage of individuals who have some collage but no degree is 17%

Therefore the number of individuals among 6000 individuals who have some collage but no degree = 6000×17% = 1020

Thereforethe answer is 1020 .

4. The percentage of individuals who have an associate's degree is 9% as per the pie diagram. The above pie diagram is based on a random sample of individuals. If we take another sample then also we may get different result. Therefore if we considere the entire population of U.S.A. the percentage of individuals who have an associate's degree may differ from 9% .