The screening process for detecting a rare disease is not perfect. Researchers h
ID: 3312299 • Letter: T
Question
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 96.0% of the people who have that disease. However, it erroneously gives a positive reaction in 6.5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions.
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 96.0% of the people who have that disease. However, it erroneously gives a positive reaction in 6.5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions.
Explanation / Answer
a)probability of Type I error =P(test positive given person does not have diease) =0.065
b) probability of Type II error =P(test negative given peson has the disease) =0.04