The administrator of a local hospital has told the governing board that 30% of its emergency room patients are not really in need of emergency treatment. In checking a random sample of 400 emergency...

Extracted text: The administrator of a local hospital has told the governing board that 30% of its emergency room patients are not really in need of emergency treatment. In checking a random sample of 400 emergency room patients, a board member finds that 35% of those treated were not true emergency cases. Using an appropriate hypothesis test and the 0.05 level, evaluate the administrator's statement.