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Chi Square Testing: Is there a relationship between college major and type of sport played (informal club sports vs. organized intramural sports vs. high-level collegiate teams)? SPSS Analysis: We have some data from a hypothetical sample that includes the sports type of students in different majors. Results: Identify the primary goal of this analysis. Report the results of the crosstabs (expected vs. observed frequencies) and chi-square test. Describe in words/paragraph form what the output tells you. Do college major and type of sport played have a significant relationship, or are these two variables independent of each other? How do you know? Conclusions: Write a brief paragraph that discusses what you learned from these variables, including comparing your findings to your guess from the first questions above. What are the limitations of chi-square? How do these limitations apply to your findings? How does the size of this sample impact the conclusions you can make based on your findings? Case Processing Summary Cases Valid Missing Total N Percent N Percent N Percent Sport Type * College Major 30 100.0% 0 0.0% 30 100.0% Sport Type * College Major Crosstabulation College Major Psychology Business Nursing Total Sport Type Varsity Count 6 6 12 Expected Count 4.0 5.2 2.8 12.0 Club Sports Count 3 5 Expected Count 3.0 3.9 2.1 9.0 Intramurals Count 2 6 g Expected Count 3.0 3.9 2.1 9.0 Total Count 10 13 7 30 Expected Count 10.0 13.0 7.0 30.0 Chi-Square Tests Asymptotic Significance (2- Value df sided) Pearson Chi-Square 14.311a 4 006 Likelihood Ratio 15.313 4 004 N of Valid Cases 30 a. 8 cells (88.9%) have expected count less than 5. The minimum expected count is 2.10