Background information, which seems irrelevant. It was used to solve other questions within this question.

Researchers wish to examine possible health hazards from exposure to anaesthetic gases. In a study of American nurse anaesthetists, conducted over 220 person-years, 7 nurses reported developing a new tumour during the study. In the general population, the true rate of tumour development is thought to be 0.01 cases/person/year. For the above test, suppose we decide to reject the null hypothesis if and only if 5 or more nurses develop a new tumour during the study. Calculate the power of the test to detect if the tumour development rate in anaesthetists is double that of the general population. power = Pr(X Z 5 I X N Pn(4.4)) = 1 Pr(X <_c x n pn>