Question

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college; 83 girls chose a 4-year college, and 33 attended a 2-year college. What conclusion can be drawn?
If you are a boy in this group, you are more likely to attend a 2-year college than a 4-year college..
If you are a girl in this group, you are more likely to attend a 2-year college than a 4-year college..
If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..
Knowing if a person attended a 4-year college will help determine gender.

Answer 1

To analyze the data provided for boys and girls regarding their college choices, we can break it down as follows:

1. **Boys:**
- Attending a 4-year college: 77
- Attending a 2-year college: 34

Total boys = 77 + 34 = 111

- Proportion attending a 4-year college: 77/111 ≈ 0.693 (or 69.3%)
- Proportion attending a 2-year college: 34/111 ≈ 0.307 (or 30.7%)

Conclusion for boys: If you are a boy, you are more likely to attend a 4-year college than a 2-year college.

2. **Girls:**
- Attending a 4-year college: 83
- Attending a 2-year college: 33

Total girls = 83 + 33 = 116

- Proportion attending a 4-year college: 83/116 ≈ 0.715 (or 71.5%)
- Proportion attending a 2-year college: 33/116 ≈ 0.284 (or 28.4%)

Conclusion for girls: If you are a girl, you are more likely to attend a 4-year college than a 2-year college.

Given this analysis, we can conclude:

- For both boys and girls in this group, they are more likely to attend a 4-year college than a 2-year college.

Looking at the answer options:
- "If you are a boy in this group, you are more likely to attend a 2-year college than a 4-year college." **(FALSE)**
- "If you are a girl in this group, you are more likely to attend a 2-year college than a 4-year college." **(FALSE)**
- "If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college." **(TRUE)**
- "Knowing if a person attended a 4-year college will help determine gender." **(NOT DETERMINATIVE)**

The most accurate conclusion is: **If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college.**