Patients with breast cancer sometimes die for other reasons. In the Nurses' Health study, women with breast cancer were followed for 10 years and 2.5% had incidence of the heart disease. Assume the baseline 10-year incidence rate of heart disease in general population is 2%. Suppose a study is to be undertaken tracking women with the breast cancer to see if there is the difference in the heart disease rate from the general population. Supposing the true heart disease incidence rate for women with breast cancer is 2.5%, determine the power of this test if the investigators are capable to track 6,000 women with breast cancer? Answer as the proportion carried to three digits beyond the decimal.