1. MRS. NIENHAUS AP STATISTICS BY: EVEN ECKERSTORFER AMANDA WEBER YUNYING ZHANG Perceptions of Colleges

2. Abstract Set up to find peoples opinions on college admission Than compared them with the actual #’s Options given include what are widely considered the hardest 11 schools to get into in the nation

3. Purpose To find out the deference between Franklin high school students opinions and the actual hardest college among the 11 we selected Also wanted to see the affect that American society had on the decision. Mainly seeing if the common assumption of Harvard being the hardest affected anything

4. Defentions Ivy leagues: is the name generally applied to eight universities (Brown, Columbia, Cornell, Dartmouth, Harvard, Pennsylvania, Princeton, and Yale) that over the years have had common interests in scholarship as well as in athletics. One Proportion z-test: A statistical test that compares research data with the expected proportion from a hypothesis. Ranking of difficulty: order in which each school falls from 1 -11 with 1 being the hardest to get into. Difficulty: We measure difficulty by the school’s acceptance rates. The school with the lowest acceptance rate is the hardest to get into.

5. Assumptions We assume 1. That the acceptance rate is an accurate measure of Difficulty to get into the school 2. That all students have heard of all the schools in the survey which would give them equal ground

6. Hypotheses Ho: There’s no difference between the judgment of Franklin High School student and actual measurement on the difficulty of college’s admission Ha: There are difference between the judgment of Franklin High School students and actual measurement on the difficulty of college’s admission

7. Methodology Survey 50 juniors and 50 seniors at franklin highschool During there first hour class Materials include: survey sheets, paperclips, direction sheets for teachers, list of students in each grade by which you can randomly choose participants, internet, computers, and graphing calculator.

8. Procedure Formulated question Created surveys and teacher instruction sheets Randomly select sample form list of students provided disturbed surveys Preformed significance test Wrote conclusions

9. Significance test Step1: Ho: P=.999 99.9% of people think Harvard is hardest to get into Ha: p = 10 (1-.426) x 68>= 10 Step3: prop<.999 z= -149.3721095 p=0 n= 68 Z= P-Po/(√((Po-Qo)/n)) Z=.426-.999/(√((.999*.001)/68)) = -149.3721095

10. Graph 1

11. Graph 2

12. Conclusions we found a Signifiagent difference between Franklin high school students opinions on which school is the hardest to get into and the real hardest school, Harvard probability of Franklin high schools students opinion being the same as the actual results is almost zero

13. Works cited