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OPMT 1197 Quiz 12 Mark: /12 Last Name: First Name: Set: x2 = >(obs-exp)2 Expected Frequencies = Row Total x Column Total exp Grand Total

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OPMT 1197 Quiz 12 Mark: /12 Last Name: First Name: Set: x2 = >(obs-exp)2 Expected Frequencies = Row Total x Column Total exp Grand Total degrees of freedom = (# rows - 1) x (# columns - 1) A 2016 Stats Canada study looked at the percentage of Canadian families that are debt-free by age group. The results of the random sample of 2,000 Canadian families is summarized in the table below. Is there enough evidence to conclude that being debt-free depends on age? Test the hypothesis at the 5% level of significance. Age (in years) Debt Free? | Under 35 35 to 44 45 to 54 55 to 64 65 and older | Total Yes 140 60 48 275 600 No 460 340 202 198 200 1,400 Total 600 400 250 275 475 2,000 Ho HA [3] The degree of freedom [2] Critical Value [3] You have calculated that the Chi-square test=245.97 Decision/Justify [3] Conclusion: Circle the Correct One [1 mark] A. Yes, there is enough evidence to conclude that being debt-free depends on age. B. No, there is not enough evidence to conclude that being debt-free depends on age

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