Question

Suppose you wanted to find out what percentage of upper class Western High students own cars? You decided to do a stratified sample based on the junior and senior population at school. There are 800 seniors and 1,200 junior at Western for a total of 2000 students. How many juniors and seniors would you survey if you were to take a sample of 100 students. Hint - This requires a little math - First figure out the percentages of each subgroup to the total number of upper class students.

Answer 1

To stratify a sample of 100 Western High School students, 40 seniors and 60 juniors should be surveyed, based on their respective percentages of the total upper class student population.

Step-by-step explanation:

If you want to find out what percentage of upper class students at Western High School own cars using a stratified sample of 100 students based on junior and senior populations, you should first calculate the percentages of each subgroup to the total number of students.

In this case, there are a total of 2,000 upper class students with 800 seniors and 1,200 juniors. The percentage of seniors to the total is (800 seniors / 2000 total students) * 100 = 40%. The percentage of juniors to the total is (1,200 juniors / 2000 total students) * 100 = 60%.

To obtain a stratified sample of 100 students, you would survey 40% of the 100 for the seniors (which is 40 students) and 60% of the 100 for the juniors (which is 60 students).