SOLUTION: There is a screening process for detecting a rare disease that is not perfect. The researchers have developed a blood test that is considered to be fairly reliable. The blood test
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Question 1163212: There is a screening process for detecting a rare disease that is not perfect. The researchers have developed a blood test that is considered to be fairly reliable. The blood test gives a positive reaction in 98.2% of the people who have the rare disease. However, it erroneously gives a positive reaction in 1.3% of the people who do not have the rare disease. Consider the null hypothesis "the individual does not have the rare disease" to answer the following questions.
a. What is the calculated number (rounded to 3 decimal places) of the probability of a Type I error?
b. What is the calculated number (rounded to 3 decimal places) of the probability of a Type II error? Answer by solver91311(24713) (Show Source):
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
