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.

1 answer

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.