The data below show 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? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 87 83 85 26-30 98 93 89 31-40 66 66 56 Over 40 55 89 58 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit b. What are the null and alternative hypotheses? Ho The age distribution is not the same for each sport. Age and sport preference are dependent. The age distribution is the same for each sport. O Age and sport preference are independent. H₁: The age distribution is not the same for each sport. Age and sport preference are dependent. Age and sport preference are independent. The age distribution is the same for each sport. c. The test-statistic for this data = d. The p-value for this sample = e. The p-value is Select an answer α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) f. Based on this, we should fail to reject the null accept the null reject the null g. Thus, the final conclusion is... There is insufficient evidence to conclude that the age distribution is not the same for each sport There is sufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that the age distribution is not the same for each sport. There is insufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that age and sport are independent.