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A new antiviral drug for hepatitis C was administered to 180 randomly chosen patients who had been diagnosed with this disease. Doctors wanted to know

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A new antiviral drug for hepatitis C was administered to 180 randomly chosen patients who had been diagnosed with this disease. Doctors wanted to know whether a patient's probability of improving was independent of the dose of the drug. They tested HO: The probability of improving is independent of the dose against Ha:The probability of improving is not independent of the dose. Their significance level was a=0.05. Forty-five (45) of the patients were randomly assigned to each of these treatments: placebo, low dose, medium dose, and high dose. The patients were monitored for 18 weeks, after which doctors screened them to see whether they had improved or not. The results are given in this table: Placebo Low dose Medium dose High dose Total Improved 7 14 16 23 60 Did not improve 38 31 29 22 120 Total 45 45 45 45 180 Calculate the test statistic and P-value of this hypothesis test. Input your answers in the next two questions

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