The screening process for detecting a rare disease is not perfect. Researchers h

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 98.4% of the people who have that disease. However, it erroneously gives a positive reaction in 1.9% 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

Consider the null hypothesis "the individual does not have the disease" to answer the following questions.

Type I error is when we reject Ho when in facts Ho is true so

in this case we reject that the individual does not have the disease when it has the disease so the probability for this case is 1.9% because erroneously gives a positive reaction in 1.9% = 0.019 of the people who do not have the disease that means that he reject Ho when the individual not have the disease

What is the probability of Type II error? (Round your answer to 3 decimal places.)
type II error is when we accepted Ho when in fact is false that means that we accept that the individual has not the disease when in fact he has the disease

so the probability in this case is 1 - 0.984 = 0.016 because 0.984 is the probbility that positive reaction with the people that has the disease so the complement is the neg. reaction with the people that has the diseas

What is the probability of Type II error? (Round your answer to 3 decimal places.)
type II error is when we accepted Ho when in fact is false that means that we accept that the individual has not the disease when in fact he has the disease

so the probability in this case is 1 - 0.984 = 0.016 because 0.984 is the probbility that positive reaction with the people that has the disease so the complement is the neg. reaction with the people that has the diseas

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