Sports Apparel Preferences

What brands do NOHS students like?

Which brand is favored?

Adidas / Nike / Under Armour

Image

How We Generated Our Sample

For this study, we used a sample of winter student athletes from North Olmsted High School to represent our population of interest - student athletes in North Olmsted, Ohio. From the list of student athletes we obtained from Mrs. Caso, we randomly generated a list of 45 winter student athletes. Using these names, we went classroom to classroom asking them “Which sports apparel brand do you prefer: Nike, Under Armour, or Adidas?” Of the 45 generated names, we were only able to reach 33 of them to ask the previously mentioned question.

Significance Test

    1. As this test uses characteristic data, we used a chi-squared goodness of fit test to calculate our p-value.

      1. p1 = proportion of winter student athletes at North Olmsted High School  who prefer Nike sports apparel

p2= proportion of winter student athletes at North Olmsted High School who prefer Adidas sports apparel

p3=proportion of winter student athletes at North Olmsted High School who prefer Under Armour sports apparel

      1. Ho=p1=p2=p3=0.333

      2. Ha=Ho is not true. At least one proportion differs.

      3. alpha = 0.05

      4. X2=(observed cell count - expected cell count)^2/expected cell count

      5. Assumptions : Sample is random, All expected cell counts are at least 5, so the sample is large enough to use the chi-squared test.

        1. Sample was randomly generated, all expected cell counts = 11>5

      6. X2=(26-11)^2/11+(3-11)^2/11+(4-11)^2/11=20.455+5.818+4.455=30.728

      7. p=0 (at 2 degrees of freedom)

      8. You can find out whether we rejected or failed to reject on the Conclusion page!! :)