The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 99.0% of the people who have that disease. However, it erroneously gives a positive reaction in 4.5% of the people who do not have the disease. Answer the following questions using the null hypothesis as "the individual does not have the disease."
a. What is the probability of Type I error?
b. What is the probability of Type II error?