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The data below show sport preference and age of participant from a random sample of members of a sports club. Test if sport preference

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The data below show sport preference and age of participant from a random sample of members of a sports club. Test if sport preference is independent of age at the 0.02 significant level. Ho Sport preference is independent of age Ha Sport preference is dependent on age 18-25 26-30 31-40 41 and ever Tennis 41 58 60 48 Swimming 58 74 49 63 Basketball 74 59 66 50 a Complete the table: Give all answers as decimals rounded to 4 places. Observed Expected (0-E) Frequency Frequency B 41 58 60 48 58 74 49 63 74 59 66 50 Total (b) What is the chi-square test-statistic for this data? Test Statistic x- (d) The p-value is Ogreater than a Oless than for equal to) a (e) The p-value leads to a decision to O reject the null O fail to reject the null in What is the final conclusion? O There is not sufficient evidence to conclude sport preference is dependent on age O There is sufficient endence to conclude sport preference is dependent on age.

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