WAMAP X C The Data Below Show Sport Prefe x G paired t test - Google Search * + wamap.org/assess2/?cid=29570&aid=1557472#/skip/5 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 66 97 97 26-30 117 75 $98 31-40 82 72 66 Over 40 70 61 43 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Paired t-test Homogeneity Independence b. What are the null and alternative hypotheses? Ho: The age distribution is the same for each sport. O Age and sport preference are dependent. The age distribution is not the same for each sport. Age and sport preference are independent. H1 : Age and sport preference are independent. The age distribution is the same for each sport. The age distribution is not the same for each sport. hp 4- 144WAMAP X + wamap.org/assess2/?cid=29570&aid=1557472#/skip/5 H1: O Age and sport preference are independent. The age distribution is the same for each sport. The age distribution is not the same for each sport. Age and sport preference are dependent. c. The test-statistic for this data = (Please show your answer to three decimal places. ) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should O reject the null O accept the null O fail to reject the null g. Thus, the final conclusion is... There is sufficient evidence to conclude that the age distribution is not the same for each sport. 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 independent, There is insufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that age and sport are dependent. hp 4+ 144 & *