A certain form of cancer is found in women over the age of 60 with probability 6.5%. A blood test exists for the detection of the disease, but the test is not perfect. This test has a false negative rate of 10% and a false positive rate of 4.5%. A woman over the age of 60 took the test and received a favorable (i.e. negative) test result. What is the probability that she has this form of cancer?