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The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to

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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 84 96 76 26-30 96 86 87 31-40 87 71 62 Over 40 56 57 61 What can be concluded at the a=0.01 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: Age and sport preference are dependent. The age distribution is not the same for each sport. Age and sport preference are independent. The age distribution is the same for each sport. H: Age and sport preference are independent. Age and sport preference are dependent. The age distribution is not the same for each sport. The age distribution is the same for each sport. c. The test-statistic for this data = d. The p-value for this sample= (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)

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