An accounting firm studied the time its accountants took to complete each client?s tax return and related this to the amount of tax paid by the client. The firm wants to know whether a relationship exists between these two variables, as it is considering a new pricing policy that would depend on the time taken to complete a tax return. The following data were obtained from a survey. Perform an appropriate test using ? = 0.05. Would the proposed policy be justified based on your results? How could this information be used to improve the processing of tax returns?

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Amount of tax pald $3001-10 000 Over $10 000 No. of work hours $0-3000 52 55 27 0-2 55 31 47 3-4 Over 4 35 35 37