# 10_05_09 - STAT 409 1 A scientist wishes to test if a new...

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STAT 409 Examples for 10/05/2009 Fall 2009 CDF @ x p n x 0.60 20 0 0.000 1 0.000 2 0.000 3 0.000 4 0.000 5 0.002 6 0.006 7 0.021 8 0.057 9 0.128 10 0.245 11 0.404 12 0.584 13 0.750 14 0.874 15 0.949 16 0.984 17 0.996 18 0.999 1. A scientist wishes to test if a new treatment has a better cure rate than the traditional treatment which cures only 60% of the patients. In order to test whether the new treatment is more effective or not, a test group of 20 patients were given the new treatment. Assume that each personal result is independent of the others. Trying to decide: cure rate p 0.60 vs. p > 0.60. a) If the new treatment has the same success rate as the traditional, what is the probability that at least 14 out of 20 patients (14 or more) will be cured? b) Suppose that 14 out of 20 patients in the test group were cured. Based on the answer for part (a), is there a reason to believe that the new treatment has a better cure rate than the traditional treatment? 19 1.000 c) If the new treatment has the same success rate as the traditional, what is the probability that at least 17 out of 20 patients (17 or more) will be cured?

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10_05_09 - STAT 409 1 A scientist wishes to test if a new...

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