Virginia has six schools on this list, and North Carolina has 5. A researcher hypothesizes that the colleges in Virgiilia and North Carolina have high four-year graduation rates. This project addresses these hypothesis by asking the following questions: (1) Is the average 4-year graduation rate for the Virginia colleges in the top 100 public Universities greater than the average of all the top 100 public colleges, and (2) Is the average 4-year graduation rate for the North Carolina colleges in the top 100 public Universities greater than the average of all the top 100 public colleges? (3) Finally, the researcher is interested in the comparison between VA and NC schools. Is the average 4-year graduation rate different for the VA and NC schools? SECTIONI Perform an appropriate liypothesis test for these three questions using a-.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and eitlien the rejection region and critical value or p- value depending on the method you choose to use. State the result of your test in a complete seilfence in context of the question. SECTION II Create 90% confidence intervals for the average 4-year graduation rate for the VA schools in the top 100 public Universities in 2003 and the NC schools in the top 100. Using these confidence intervals, what would you conclude about your three research questions? Why? SECTION III Did you find a different results using the confidence intervals than when you used hypothesis tests? If so, wliy do you think the results were different? If not, which method is better to answering your question? Does one method give you better information than the other? 22% 98 Texas Tech University TX 43% OH 99 Ohio University 39% 100 UC Riverside CA 22% WY University of Wyoming 69 25% 70 George Mason University VA 25% 71 University of Central Florida FL FL 72 25% Ohio State University OH 28% 73 Illinois State University IL 32% 74 University at Buffalo, The State University of New York NY 50% 75 Salisbury University MD 41% 76 University of Massachusetts Amherst MA VT 48% 77 University of Vermont SC 32% 78 College of Charleston 89 NY 30% Stony Brook University, State University of New York State University of New York at New Paltz 90 NY 21% 91 University of Maine ME 29% 92 University of New Hampshire NH 48% 93 University of Missouri. Rolla MO 10% 94 University of California, Santa Cruz CA 40% 95 37% NJ Rowan University 9% 96 University of Illinois at Chicago IL 97 36% OR University of Oregon 98 22% Texas Tech University TX 59 University of Missouri, Columbia МО 32% 60 MN 50% University of Minnesota, Morris 61 31% AL University of Alabama . 31% 62 University of South Carolina SC 58% 63 St. Mary's College of Maryland MD 22% 64 MI 44% 65 CA 17% 66 Michigan Technological University University of California, Santa Barbara University of Minnesota, Twin Cities Campus Mississippi University for Women California Polytechnic State University, San Luis Obispo MN 21% MS 67 17% CA 68 39 24% TN University of Tennessee 40 34% University of Iowa IA 44% 41 Rutgers. The State University of New Jersey, New Brunswick NJ 42 35% Clemson University 882 SC 38% 43 University of Colorado at Boulder со 27% 44 University of Kentucky KY 20% 45 University of Arkansas AR 65% 46 Mary Washington College VA 47 22% Oklahoma State University OK 48 18% IKS Kansas State University 31% MI 29 Michigan State University 31% 30 Appalachian State University NC 24% IA 31 Iowa State University of Science and Technology State University of New York College at Geneseo 67% NY 32 27% 33 Texas A&M University TX 30% 34 University of Texas at Dallas TX 34% 35 NC 33% MD 36 University of North Carolina at Wilmington University of Maryland, College Park University of California, Los Angeles Louisiana State University and Agricultural and Mechanical 40% 37 CA 23% LA 38 23% 19 University of Wisconsin La Crosse WI 39% 20 University of Texas at Austin TX 19% 21 University of Oklahoma OK 26% 22 University of Kansas KS 31% 23 NC University of North Carolina at Asheville State University of New York at Binghamton 69% 24 NY co 31% 25 Colorado School of Mines 40% 26 AL Auburn University 29% 27 Colorado State University CO 59% NJ 28 College of New Jersey EI G D H 39% MO 9 Truman State University 36% 10 Virginia Polytechnic Institute and State University VA 25% 11 North Carolina State University NC 54% 12 University of Delaware DE 41% WI 13 61% 14 University of Wisconsin, Madison University of Michigan, Ann Arbor University of California, San Diego MI 15 СА. 43% CA 48% 16 University of California, Berkeley 17 40% WA University of Washington 18 12% New Mexico Institute of Mining and Technology NM rank School 4-year Grad. Rat State 1 65% University of North Carolina at Chapel Hill NC 2 81% VA University of Virginia 3 80% VA College of William and Mary 4 University of Georgia GA 46% University of Florida om FL 49% 6 New College of Florida FL 47% 7 Georgia Institute of Technology GA + 18% 8 University of Illinois at Urbana, Champaign IL 52%