The data below showr sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Fre uencies of 5 art Preference and A e Tennis Swimming Basketball 18-25 98 90 71 26-30 104 79 53 31-40 85 72 50 Over 40 66 77 59 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? 0 Goodness-of-Fit 0 Independence O Paired t-test O Homogeneity b. What are the null and alternative hypotheses? Ho: 0 Age and sport preference are dependent. O The age distribution is the same for each sport. 0 The age distribution is not the same for each sport. 0 Age and sport preference are independent. 0 Age and sport preference are independent. 0 The age distribution is not the same for each sport. 0 The age distribution is the same for each sport. 0 Age and sport preference are dependent. c. The test-statistic for this data = C] (Please show your answer to 2 decimal places.} d. The p-value for this sample = (Please show your answer to 4 decimal places.)