Haskell Indian Nations Univ is first with 16.1%.

Incidentally, both have their top major in business.

outdid Cornell (29.3%), Kentucky State Univ (35.9%), Tuskegee Univ (35.9%), and North Dakota State Univ (36%), and others, ending with Fort Berthold Community College (100%).

6 out of the other 88 colleges were ruled out due to missing, unknown, or not-applicable values for in-state freshmen, e.g., U of Guam.

1. Whether a college is a land-grant institution is from the IPEDS Directory, 2012-13 (Provisional release) by the National Center for Education Statistics (http://nces.ed.gov/ipeds).
   
2. Data on in-state and out-of-state enrollments is from the file residence and migration of first-time undergraduate students: Fall 2012 (Provisional release) as reported by the National Center for Education Statistics (http://nces.ed.gov/ipeds).
   

U of Vermont is in Burlington, VT, is public, research intensive, a top-100 party school, a land-grant institution, accepts the Common Application, has a Phi Beta Kappa chapter, has a nursing major, has its top Masters major in education, has its top major in business, offers a Doctor of Medicine degree, offers on-campus housing, requires test scores for undergrad admissions, is on the semester system, its top Doctoral major is medicine, and enrolls from 10,000 to 19,999 students.

• Webometrics world ranking (236th place)
• ARWU world ranking (301st place)
• Times Higher Education world ranking (301st place)
• PayScale mid-career median salary ranking (377th place)
• research spending ($94.8M)
• average full-time teaching salary ($81,890)
• out-of-state undergrad tuition & fees ($35,612)
• endowment per full-time student ($24,841)
• in-state undergrad tuition & fees ($15,284)
• average grant aid to undergrads ($12,960)
• average undergrad student loan ($6,695)
• cost of a shared room ($6,650)
• research spending per student ($6,095)
• non-resident tuition & fees surcharge (133%)
• undergrads who get financial aid (89%)
• undergrads among full-time students (85.6%)
• full-time retention rate (85%)
• ratio of female full-time freshmen (57.3%)
• undergrads who receive student loans (56%)
• grad students who are under 25 years old (27.2%)
• in-state freshmen (22.8%)
• undergrads who get Pell grants (21%)
• tuition & fees increase over three years (13.4%)
• average teaching salary differential (men vs. women, 12%)
• undergrads who are 25 years or older (8.6%)
• minorities (8.3%)
• disabled students (6%)
• Hispanics (3.6%)
• Asians (2.8%)
• foreign students (2.4%)
• Blacks or African Americans (1.5%)
• American Indians or Alaska Natives (0.4%)
• average teaching salary differential (women vs. men, -10.7%)
• 25th percentile SAT math score (550)
• 25th percentile SAT reading score (540)
• 25th percentile SAT writing score (540)
• 75th percentile SAT math score (640)
• 75th percentile SAT reading score (640)
• 75th percentile SAT writing score (640)
• alumni who played in the National Football League (6)
• average January temperature (18.7 degrees)
• dorm capacity (5,500)
• first-year applicants (21,808)
• foreign students (381)
• full-time grad students (1,295)
• full-time undergrads (9,956)
• grad students (1,887)
• members of the National Academy of Sciences (0)
• men's basketball Final Four appearances (0)
• Rhodes Scholar alumni (10)
• total 75th percentile SAT score (1,920)
• undergrads (11,211)
• yearly for-credit students (15,560)
• on-campus yearly property crimes per thousand students (2.46)
• students per faculty member (16)
• annual rainfall (36.8 inches)
• diversity and inclusion ratio (0.31)
• elevation (104 meters)

Sources