3. Use the data file on the top 100 Public colleges in 2003 to create a 95% confidence interval for the proportion of college which have a four year graduation rate of 50% or more. 4. How many schools would need to be selected to be 95% confident that the sample proportion of schools graduating 50% or more of their students in 4 years would be within 4% of the actual population proportion?

Top 100 Public Colleges - 2003 Out of- In-State In-State Student/F In-State In-State Rank State 6-year Total Out Out-of- 4-year Rank State Rank School State Admission Enrollment SAT or ACT Rate aculty Grad Grad Total Costs of-State %% Met by |Avg. Debt 2003 2002 Costs Aid at Grad. 2003 Ratio Rate Rate Costs After Aid Costs After Aid University of North Carolina at Chapel Hill NG 15,961 65/76 35% 14 65%% 79% $11,290 $6,673 $23.138 $16.465 100% $11,156 8 University of Virginia VA 13.805 77/84 39% 16 81% 91% $12,540 58,737 $28,610 $19,873 92% $13,536 16 College of William and Mary VA 5,694 83/85 35% 12 80% 89% $13,024 36.668 $27,724 $21,056 83% $19,762 6 6 University of Georgia GA 24,983 54/59 65% 13 46% 56% $10,534 $5,245 $21,310 $16,065 75% $12,906 12 University of Florida FL 34,031 58/67 58% 21 49% 77% $10,611 $6.125 $21,639 $15.514 85% $14,449 7 30 New College of Florida FL 550 93/74 65% 11 47% 72% $10.947 $5,613 $24,185 $18,572 84% $16,645 11 25 Georgia Institute of Technology GA 11,456 75/95 59% 14 18% 69% $11,340 $6,022 $23,266 $17.244 67% $17.221 18 University of Illinois at Urbana Champaign IL 28,947 79 60% 13 52% 76% $14.410 $8,045 $25,446 $17,401 87% $14,791 23 2 Truman State University MO 5.536 82 79% 15 39% 62% $10.609 $7.604 $14,409 $6,805 84% $14,382 10 15 20 Virginia Polytechnic Institute and State University VA 21,468 39/52 65% 15 36% 72% $10,122 $5.613 $20.006 $14,393 64% $16,229 11 17 44 North Carolina State University NC 22,780 39/60 59 25% 60% $10.688 $5.508 $22.536 $17,028 85% $15,476 12 14 19 University of Delaware DE 17,486 41/53 48% 12 54% 72% $13.416 $7.656 $22,945 $15,280 82% $13,610 13 12 50 University of Wisconsin Madison W 29,708 86 71% 14 41% 77% $13,391 $7,842 $27,401 $19,559 NA $15,904 15 24 University of Michigan. Ann Arbor MI 24,472 83 61% 82% $16.671 $8.661 $33,473 $25,463 90% $16,82518 41 17 New Mexico Institute of Mining NM and Technology 1,336 75 53% 13 12%% 40% $9 714 $2.708 19 51 University of Wisconsin. La Crosse WI 8.158 60 65% 21 23% 58% $10.425 37,327 $20,102 $12,775 92% $14,306 20 29 3 University of Texas at Austin TX 39,661 51/65 61%% 19 39% 71%% $14,391 39.111 $20,999 $11,888 94% $16,400 21 21 University of Oklahoma OK 19.570 89% 21 19% 51% $10.139 36,618 $16,652 $10.034 88% $16,886 22 28 26 University of Kansas KS 20.605 55 67% 19 26% 55% 39,673 56,266 $17.149 $10,883 76 $17,347 23 21 38 University of North Carolina at Asheville NC 3,351 48/40 37% 14 31% 48% 58,929 $6.308 $17,754 $11,446 84% $14,547 24 10 State University of New York at Binghamton NY 10,328 51/73 42% 19 59% 80% $13,587 $9.214 $19,537 $10,323 80% $13,915 25 47 72 Colorado School of Mines CO 2,504 89 67% 12 31% 61% $13,780 58.532 $26.970 $18,438 100% $17,500 26 70 31 Auburn University AL 19,603 51 83%% 16 40% 68% $10,276 37,308 $18,736 $11,428 51% $18,585 27 57 Colorado State University CO 21.677 56 77% 17 29% 62%% $10,689 $5.700 $21,161 $14,461 82% $16,042 28 College of New Jersey 5,961 81/71 48% 12 59% 80% $15.686 $13.915 $21.261 $7,346 76% $5,490 29 52 Michigan State University M 35,197 57 57% 319 $12,743 38,670 $22.703 $14,033 98% $18,663 37 39 Appalachian State University NC 12.852 28/30 31% 50% 57,913 54,785 $16,834 $12.049 79% $13,000 31 53 lowa State University of Science and Technology LA 22.999 89% 24%% 52% $11,580 58,736 520.930 $12.194 100% $17.119 12 24 State University of New York College at Geneseo NY 5,387 65/73 49% 19 67% 79%% $12.840 510.840 $18,790 $7,950 90% $15.060 17 Texas ARM University TX 36,775 38/49 21 27%% 69%% $11,899 $7.057 518.979 $11.922 $15.670 27 University of Texas at Dallas TX 7.961 45/59 53% 20 30% $12.075 57.787 $19.155 $11,368 89% NA 35 University of North Carolina at Wilmington NC 9.803 18/25 $5% 60%% 59,715 58 375 $19.290 512.915 513,583 15 University of Maryland College MD 25.179 84177 13 03% $15 304 $12 223 522 381 $10,648 72%% $15,56836 30 15 University of Maryland, College Park MD 25.179 84/77 43% 13 33% 63% $16,304 $12.223 522,881 $10,858 72% $18,56 37 13 28 University of California, Los Anger CA 24,899 62/75 24% 17 40% 81% $17,616 $9.975 $26,006 $16,031 82% $12,775 38 32 Agricultural and Mechanica LA 26,560 53 77% 21 23% 58% $10, 126 $7.406 $18,426 58,020 71% $17,569 CallAGA 39 52 58 University of Tennessee TN 19,956 49 58% 18 24% 58% $11,681 36,706 520,763 $14,057 68% $21,689 40 63 University of lowa IA 20,487 59 84%% 34%% 84% $11,783 39.480 $22,058 $12,598 88% $15,335 27 14 Rutgers. The State University of New Jersey, New Brunswick NJ 28,070 39/55 85%% 14 44% 72%% $16,519 $10.044 $23.033 $12,989 56% $15,270 42 20 24 Clemson University SC 13,734 44/81 52% 16 35% 69% $14,618 $11.121 $22.216 511,095 78% $14,347 43 97 University of Colorado at Boulder CO 25,158 65 80% 16 38% 64%% $11,937 $7.877 528,253 520,376 75% $16,737 4A 77 45 University of Kentucky KY 17,830 54 82% 17 58%% $9,432 $5.594 516,112 510,518 83% NA 82 40 University of Arkansas AR 12,889 59 86% 17 20% 45% $10,706 $7.144 $17,456 $13,894 75% $14,029 48 25 41 Mary Washington College VA 4,275 62/49 60%% 17 65% 75%% 512,287 59.033 $20.035 $11,002 56% $13, 100 57 34 Oklahoma State University OK 18.043 92% 19 22% 56% $10.677 $7.478 516,623 59.145 82% $15,580 Kansas State University KS 19.048 49 58% 20 45% 59.626 $7, 104 $16.990 59,896 75% $17,000 54 University of Northern Iowa IA 12.397 39 80% 16 64%% 510.634 $7,632 $17.592 $9.960 74% 515,786 University of Miggigzipp! MS 10,861 19 20% $11,257 58.607 59.560 76% $14,459 James Madison University VA 14,828 33/40 50% 17 70% 513.149 59.320 $21,367 $12.047 54% 511,786 22.651 42/62 19 28% 275% 516,521 510.334 523.614 $13,490 77% $13.50752 43 35 University of California, Davis CA 22.861 42/82 63% 19 28% 75%% $16,521 $10,334 $23,814 $13,490 77% $13,507 53 32 73 Miami Univerly OH 15,384 84 77% 17 61% 80% $15,833 $12,487 $25.603 $13,136 65% $17,579 54 42 Purdue University IN 30,908 29/46 75% 20% 64% $14,691 58,723 $26,311 $17,688 90%% $15,677 35 98 29 Mississippi State Unbury MS 13,373 50 74 19%% 48% $11,130 $8,174 $16.036 $7,862 72% $15,081 University of Nebraska. Lincoln NE 18,118 90% 19 15% $10,687 57,277 $18.269 $10,992 84% $15,682 57 22 87 Florida State University FL 29,195 34/39 70% 22 38% 84% $10,994 $7,035 $22,022 $14.987 25% $16,372 34 University of California, Irvine CA 19,179 24/85 57% 34% 72% $15,835 58,507 $22,450 $13,944 81% $12,613 26 University of Missouri Columbia MO 19.698 88%% 32% 55% $13,208 58, 138 522 656 $14,517 87% $17,137 10 University of Minnesota. Morris MN 1,910 61 82% 14 50% 76% $13,477 58,427 513,477 $5,050 31% 59 208 University of Alabama AL 15,441 85% 18 31% 61% $11,197 50,136 $18,357 $10,221 $18,978 71 76 University of South Carolina SC 16,567 29/36 70% 17 31% $11,795 .$8,794 $21,133 $12,339 91% $15,250 33 37 St. Mary's College of Maryland MD 1,823 67/60 SO 12 58% 67% $16,908 512.908 $23,228 $10,320 61% $17,125 Michigan Technological Univerty M 5,915 11 22%% $14,135 59.339 $25 025 $15.686 81% $15,711 75 60 University of California. Santa Barbara CA 17,714 38/55 51% 73% $16, 154 $10.231 $24 246 514015 NA 95 University of Minnesota Twin Ches Campus MN 32,457 64 74% 15 17% 53% $13,910 57.902 $25 540 $17.638 79% NA $7 Miss snigel University for Women MS 2,166 56 65% 21% 43%% $8.649 58,649 $13 316 54 667 30%% $13,500 53 22 California Polytechnic State CA University. San Luis Obispo 17,401 39/64 39% 19 17% 65% $11.781 $10, 29 $15 263 $4,839 76% $12,84270 University of Wyoming WY 9.250 42 954 22% 54% $10,863 56.833 $16.713 59 880 75% $18,311 70 George Mason University VA 16,687 25/29 56% 16 25% 48%% $11,602 $7.597 $21,442 $13,845 72% 71 $14,143 93 University of Central Florida FL 32,044 30/36 $2% 25% 19% $10,839 $8,353 $21,867 $13,514 7% 72 $14,927 39 75 Ohio State University OH 36,855 69 74% 25% 59% $15,249 $11,315 $25,113 $13,798 75% 73 $15,011 42 illinois State University IL 18,353 47 81% 15 28% 55% $12,971 $7,199 $17.441 $10,242 80% 33 University at Buffalo, The State $13,921 University of New York NY 17.054 28/41 61% 14 325 $6%% $13,422 $9.956 $19.372 59,416 $16,255 75 53 55 Salisbury University MD 6,206 26/35 SOK 17 50% $12.895 $9.506 $19,783 $10,277 65% University of Massachusetts $14.773 76 77 Amherst MA 18,606 32/38 19 41% 61% $14,480 $9.714 $23.333 $13,619 87% $15,321 77 62 84 University of Vermont VT 8,792 35/38 71%% 14 18% 67% $17,116 $8 258 $30,168 $21,910 90% $22 425 78 71 College of Charleston SC 10.044 47/47 60% 1 32% 52% $14,008 $11.214 $21.270 $10,056 57% $15, 135 79 95 Indiana University Bloomington IN 30,752 27/33 81%% 20 40% 65% $13.129 58,704 $24.164 $15,460 64% $16,930 82 Pennsylvania State University University Park Campus PA 34,829 40/60 57% 17 43% 80% $17,017 $12.872 $26.639 $13,767 75% $17.900 81 65 19 State University of New York at Albany NY 11,953 26/35 56% 21 52% 65%% $13,574 $9.599 $19.524 59,925 71% $15, 108 University of Arizona AZ 28,278 27/33 86% 19 29% 55%% $11,163 $5,506 $19.933 $11.427 NA $17.340 83 78 Towson University MD 14.296 18/26 58% 19 30% 56% $12,776 $8.651 $20.422 $11,771 81% $15,530 Rutgers, The State University of New Jersey. Camden N 3.800 19/24 54% 60% $16.159 $10.111 $22.703 512.592 91% $15,223 74 University of Maryland Baltimore County MO 9.549 46 63 63% 17 28% 53% $16,516 $12,946 $23,368 $10,422 618 $14,500 72 University of Connecticut CT 14,716 33/42 62% 17 23% 70% $14,413 59 141 $25.197 $16,056 $16,093 87 University of Pittsburgh PA 17.910 48/56 559 17 35% $17 025 $12.723 526,337 513,614 $20.15485 Baltimore County 86 72 89 University of Connecticut CT 14,716 33/42 62% 17 23% 70% $14,413 $9,141 $25,197 516,056 79% $16,093 87 46 81 University of Pittsburgh PA 17,910 48/56 55% 17 35% 60% $17,025 $12,723 $26,337 $13,614 86% $20,154 64 State University of New York NY College at Fredonia 4,900 22/25 53% 18 47% 66% $11,782 $8,961 $17,732 $8,771 77% $12,430 89 60 57 Stony Brook University, State NY University of New York 14,224 25/50 54% 18 30% 51% $13,645 $9.704 $19,595 59.891 72% $15,747 90 74 65 State University of New York at New Paltz NY 6,187 30/29 40% 17 21% 52% $11,276 $8,276 $16,176 $7,900 75% $15,000 91 90 University of Maine ME 8,817 22/29 79% 15 29% 56% $12,780 $8,162 $21,480 $13,318 79% $17,917 92 91 University of New Hampshire NH 11,496 25/32 77% 14 48% 71%% $15,779 $13,693 $26,139 $12,446 80% $20,700 93 45 92 University of Missouri, Rolla MO 3,849 83 92% 14 10% 52% $14,326 $9.416 $23,144 $13,728 87% $17,991 98 79 University of California, Santa Cruz CA 12,881 37/39 80% 19 -40% 649% $16,877 $9.309 $24,250 $14,941 90% $13,282 95 94 56 Rowan University NJ 8,324 22/33 4456 14 37% 63% $15,416 510,632 $20.312 $10,180 91% NA 96 99 University of Illinois at Chicago IL 16,543 43 63% 15 95 37% $14,299 56,399 $23.995 $17,596 86% $17,000 97 100 University of Oregon OR - 16,041 30/31 86% 18 36% 59% $12,795 59.586 $24.231 $14,645 77% $22,783 98 86 Texas Tech University TX 22,768 23/29 69% 20 22% 51% $12,968 59,878 520.048 510,170 52% $13,805 65 96 98 Ohio University OH 17,343 49 75% 20 43% 70% $16,514 $13,102 524.737 $11,635 68% $15,285 100 94 UC Riverside CA 14,124 16/34 86% 39% 64% $16,751 59,932 $24,530 $17,711 82% $13,226 "SAT or ACT shows the percentage of the 2002-2003 freshman class that scored above 600 on the verbal component of the SAT | and the percentage of those students who scored above 600 on the math component, separated by a slash, or the percentage that scored above 24 on the ACT. The type of score (SAT or ilby the majority of admitted students