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4. A clinical trial evaluates a new compound designed to improve wound healing in trauma patients. The new compound is compared against a gold standard

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4. A clinical trial evaluates a new compound designed to improve wound healing in trauma patients. The new compound is compared against a gold standard which follows an approximately normal distribution. After treatment for 5 days with the new treatment, the extent of wound healing is measured and the data are shown below. Number of Patients with Percent Reduction in Size of Wound Extent of wound healing Poor Average Good Excellent (Poor to Excellent): (0-25%) (26-50%) (51-75%) (76-100%) Trauma Patients undergoing 51 82 66 51 treatment (n = 250) Use the collected data to test whether the distribution of the observed percent wound healing in the trauma patients is comparable to the gold standard for wound healing, which specifically has the following distribution, ordered from poor to excellent: 30% (poor), 40% (average), 20% (good), and 10% (excellent) and a = 0.05 to run the appropriate hypothesis test. 5. A clinical trial is conducted to compare experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomly assigned to either receive placebo or experimental medication. The primary outcome is self-reported reduction in symptoms, and the data are recorded as follows. Change in Symptoms Treatment Much worse Worse No change Better Much better Experimental 10 17 35 28 10 Placebo 12 25 42 12 9 Is there a difference in change in symptoms by treatment group? Run the appropriate test at a 5% level of significance

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