1. Eye Color Populations in VVS Middle School and High School
By: Jamie Noble,
Julianne Finley,
Theresa Lohr,
and
Allie Spoletini

2. What and Who we sampled:
We sampled male and female VVS Middle and High School students during their lunch periods (5th-7th).
We are taking an eye color sample of the students and comparing it to the January 1, 2014 U.S. “Eye Color Distribution Percentages” published by the American Academy of Ophthalmology.
In our sample we will include eye color, gender, age, and residential area.

3. How we sampled:
We first assigned each other to different lunch periods and in those lunch periods we sampled random groups of students in the cafeterias by collecting their eye color, gender, age, and residential area.
Our sampling method consisted stratified sampling and systematic sampling: we took every 3rd male and female student on our list, which resulted in a sample size of 84 and an equal number of males and females.

4. Hypotheses: Null Hypothesis Ho: (Based on the American Academy of
Ophthalmology)
μ=47% have blue eyes
μ=12% have green eyes
μ=41% have brown eyes
Alternate Hypothesis H1: (Based on our own predictions)
μ<47% have blue eyes
μ>12% have green eyes
μ<41% have brown eyes

5. American Academy of Ophthalmology population compared to VVS representative sample

6. Gender of VVS Sample Boys: 15% Green 39% Brown 46% Blue Girls:

7. Grade 5 6 3 5 7 6 7 8
Amount per Grade 2 5 2 3 1 6 5 5 4 4

8. Math Confirming our Hypothesis
BLUE EYES:
μ= 47% np= 39.48
nq= 44.52
p= .45
E=.020 P(z < -0.37)=.3557
.3557 > .05
p > α, Fail to reject Ho
Our experiment tells us that 45% of VVS Students have blue eyes with a margin of error of 2.0% at a 95% confidence interval.

9. GREEN EYES: μ= 12% np= 10.08 nq= 73.92 p= .19
(continued)
GREEN EYES:
μ= 12% np= 10.08
nq= 73.92
p= .19
E= P(z < 1.97)= .0244
.0244 < .05
p < α, Reject Ho
Our experiment tells us that 19% of VVS Students have green eyes with a margin of error of 8.4% at a 95% confidence interval.

10. BROWN EYES:
μ= 41% np= 34.44
nq= 49.56
p= .36
E=.049 P(z < -.93)= .1762
.1762 > .05
p > α, Fail to reject Ho
Our experiment tells us that 36% of VVS Students have brown eyes with a margin of error of 4.9% at a 95% confidence interval.

11. Reflection
Categorizing method: Hazel eyes could have been misinterpreted (green or brown?).
Some students don’t eat in the cafeteria, therefore there was no way they could be included in our study.
Also, some students were absent during our sampling.
Overall: our project went smoothly and was simple to conduct.

12. Biases
VVS is not a very diverse high school. We could have gone somewhere with a more diverse population.
We used convenience sampling by sampling the students who were readily available to us.

13. Modifications
Sample size: We would increase the sample size to obtain a more accurate representation of the population.
Sample with all four members of the group together: this would help more accurately agree on the eye color for the individuals we would sample.
We sampled specific tables in the lunch rooms until our list was filled. We should have sampled all the students, rather than rejecting those who couldn’t fit on our list.

14. Works Cited
American Academy of Ophthalmology. “Eye Color Distribution Percentages.” Statistic Brain. N.A. N.P. January 1, Web. January 6, < >.
Brase, Charles Henry and Corrinne Pellillo. Understanding Basic Statistics. Belmont, CA: Brooks/Cole Cencage Learning, Print