Suppose the success rate for surgical treatment of a particular heart condition is widely reported in the literature to be 0.70. A new medical treatment has been proposed which is alleged to offer equivalent treatment success. A hospital without the necessary surgical facilities or staff has decided to use the new medical treatment on all new patients presenting with this condition. How many patients must be studied to test H0:P=0.70 versus Ha:P=0.70 at the 0.05 level if it is desired to have 90% power of detecting a difference in proportion of success of 10 percentage points or greater?
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