SOLUTION: 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 98.2%
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Question 1163222: 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 98.2% of the people who have that disease. However, it erroneously gives a positive reaction in 1.3% 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.
****Written statements for answers are be marked as incorrect.****
a. What is the probability of a Type I error? (Round your answer to 3 decimal places.)
b. What is the probability of a Type II error? (Round your answer to 3 decimal places.)
A type I error is a rejection of a null hypothesis when the null hypothesis is indeed true.
A type II error is an acceptance of a null hypothesis when the null hypothesis is indeed false.
So, what is the probability that the blood test says the person has the disease (null hypothesis rejected) when in fact the person does not (null hypothesis true)?
And what is the probability that the blood test says the person does not have the disease (null hypothesis accepted) when the person does in fact have the disease (null hypothesis false)?
John
My calculator said it, I believe it, that settles it
