A researcher is studying a new treatment protocol to combat a certain disease. The interest is in comparing the performance of the new treatment with the standard treatment method. In a survey on the subject, a first group of 250 patients received standard treatment, while a second group of 185 patients received the new treatment. Among subjects treated with the standard method, 88 were not recovered, while 39 were not recovered among those treated with the new protocol. Statistical analysis should be done to evaluate and compare treatment options. Perform an appropriate statistical hypothesis test to see whether the rate of people with disease persistence (ie, the non-recovery rate) was lower among those who received the new treatment. The hypothesis test must use a significance level of α=0.09 a. What is the distribution of the test statistic? b. What kind of alternative hypothesis? c. What is the critical value of the test (the value that defines the critical region), on the scale of the test statistic? (If the test is bilateral, enter only one of the values.)

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A researcher is studying a new treatment protocol to combat a certain disease. The interest is in comparing the performance of the new treatment with the standard treatment method. In a survey on the subject, a first group of 250 patients received standard treatment, while a second group of 185 patients received the new treatment. Among subjects treated with the standard method, 88 were not recovered, while 39 were not recovered among those treated with the new protocol. Statistical analysis should be done to evaluate and compare treatment options. Perform an appropriate statistical hypothesis test to see whether the rate of people with disease persistence (ie, the non-recovery rate) was lower among those who received the new treatment. The hypothesis test must use a significance level of α=0.09

a. What is the distribution of the test statistic?

b. What kind of alternative hypothesis?

c. What is the critical value of the test (the value that defines the critical region), on the scale of the test statistic? (If the test is bilateral, enter only one of the values.)

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