An ABC news program reported that a standard method for rendering patients unconscious resulted in patients waking up during surgery.

These individuals were not only aware of their plight, they suffered from nightmares later. Some physicians tried monitoring brain function during surgery to avoid this problem, the strategy being to give the patient more medication if they showed signs of regaining consciousness, and they found that among 200,000 trials, zero patients woke during surgery.

However, administrators concerned about cost argued that with only 200,000 trials, the probability of waking up using the new method could not be accurately estimated. Verify that a 0.95 confidence interval for p, the probability of waking up, is (0, .000015).