Statistics Impact Project
By: Sameer Haniyur and Akshay Durvasula
Is there an association between wearing corrective eye-wear and ethnicity?
Akshay giving out the survey to other people in classes.
Using the random number generator, we would survey 1st and 3rd periods for each teacher
Chi Squared Test For Independence
Now that we gathered 113 responses, it was time to perform a Chi-square test of independence using the .05 significance level.
P- We are testing to see if there is an association between need for corrective eye-wear (glasses or contacts) and ethnicity at the alpha level a= .05.
H- H₀-There is no association between need for corrective eye-wear(glasses or contacts) and ethnicity
Ha-There is an association between need for corrective eye-wear(glasses or contacts) and ethnicity
A-Random- Samples were taken using random sampling by selecting 2 periods for teachers we got signatures from using random number generator, and we surveyed all students in those periods for the teachers. 10%: 113<10% of all students at Flower Mound High School. All expected counts are at least five.
N- Chi square test for independence with an alpha level of a= .05
T- x^2 = (24-25.12)^2/25.12 + (19-17.88)^2/17.88 +...+(21-24.54)^2/24.54
O- df=(5-1) * (2-1) = 4 * 1 =4, P(x2 > 3.8706) = .424M- Since the P-value p=.424 is greater than the alpha level a= .05, we fail to reject the null hypothesis. There is not convincing evidence of an association between wearing corrective eyewear and ethnicity.