Educational Attainment of Couples#
The table below shows the distribution of education level attained by US residents by gender based on data collected in the 2010 American Community Survey.
Male |
Female |
|
|---|---|---|
Less than 9th grade |
0.08 |
0.13 |
9th to 12th grade, no diploma |
0.20 |
0.09 |
HS graduate (or equivalent) |
0.12 |
0.21 |
Some college, no degree |
0.30 |
0.20 |
Associate’s degree |
0.01 |
0.03 |
Bachelor’s degree |
0.06 |
0.17 |
Graduate or professional degree |
0.25 |
0.17 |
Total |
1.00 |
1.00 |
Part 1#
What is the probability that a randomly chosen man has at least a Bachelor’s degree?
Answer Section#
Please enter a numeric value between 0 and 1.
Part 2#
What is the probability that a randomly chosen woman has at least a Bachelor’s degree?
Answer Section#
Please enter a numeric value between 0 and 1.
Part 3#
What is the probability that a man and a woman getting married both have at least a Bachelor’s degree? Note any assumptions you must make to answer this question.
Answer Section#
Please enter a numeric value between 0 and 1.
Part 4#
If you made an assumption in part 3, do you think it was reasonable?
Answer Section#
{‘value’: ‘Yes’, ‘feedback’: ‘Not quite. Assumptions required in part 3 include assuming that the education level of the husband and wife are independent and that the decision to get married is unrelated to education level. The husband/wife independence assumption is probably not reasonable, because people often marry another person with a comparable level of education. We will leave it to you to think about whether the second assumption is reasonable.’}
{‘value’: ‘No’, ‘feedback’: ‘Great! You got it. Assumptions required in part 3 include assuming that the education level of the husband and wife are independent and that the decision to get married is unrelated to education level. The husband/wife independence assumption is probably not reasonable, because people often marry another person with a comparable level of education. We will leave it to you to think about whether the second assumption is reasonable.’}
Attribution#
Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.