Research has shown that specific biochemical markers are found exclusively in the breath of patients with lung cancer. However, no lab test can currently distinguish the breath of lung cancer patients from that of other subjects. Could dogs be trained to identify these markers in specimens of human breath, as they can be to detect illegal substances or to follow a person's scent? An experiment trained dogs to distinguish breath specimens of lung cancer patients from breath specimens of control individuals by using a food-reward training method. After the training was complete, the dogs were tested on new breath specimens without any reward or clue using a double-blind, completely randomized design. Here are the results for a random sample of 1286 breath specimens: Breath Specimen Dog Test Control Cancer Total Subject Subject Negative Positive 4 564 568 Total Question 9 (1 point} The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the disease. Suppose we pick one of the breath specimens at random. What is the probability that we get a positive dog test result given that the patient did have cancer? Give your answer as a percent out to two decimal places, or xx.xx%. :] Question 10 (1 point) The specicity of a diagnostic test is the conditional probability that the subject tested doesn't have the disease, given that the test has come up negative. Suppose we pick one of the breath specimens at random. What is the probability that the subject does not have lung cancer given that the dog test result came back negative? Give your answer as a percent out to two decimal places, or xx.xx%. :]