Study
We obtained our data by receiving this year (2014-2015 season) roster from North Olmsted High School’s athletic director. However, our athletic director obtained his information by the decision of each sport’s coach, who finalized their varsity roster. The roster was determined in the beginning of each sports season once the coach figured out who he or she wanted to be the varsity team, thus only athletics who were dictated varsity members in the beginning of the season were included. Those who received varsity mid-season or at the end were not included, simply because they were not part of the original roster.
We choose the chi-square test to run against out data. The chi square test to discover the association of varsity athletes per athletic season. We conducted this information more specifically, afterwards, to discover if their is an association amongst each gender receiving or obtaining a varsity letter for the athletic seasons of fall, winter, or spring.
Ho: There is no association between gender and amount of varsity athletes
Ha: There
is an association between gender and amount of varsity
athletes
α = 0.05
Assumptions: 1. Sample is random
2. All expected cell counts are at least 5, so the
sample size is large enough to use the chi-square test.
8.226
p-value = 0.016
Conclusion: We reject the null hypothesis at the 0.05 level of significance because the p-value is < α. Therefore, there is sufficient evidence to say that the distribution of proportions of North Olmsted High School Varsity Athletes has an association of genders per athletic season deviates from the expected pattern of proportions.