A certain disease is present in five out of one thousand people. A new test has been developed to test for the disease. The result of a large clinical trial of the new test has yielded the following results:
If a person has the disease, the probability of a positive test reaction is 0.94.
If a person does not have the disease, the probability of a positive test reaction is 0.07.
Find the probability that a person who tests positive with the new disease actually has the disease. (A chart may be helpful)