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

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 2% of the people who have that disease However, it erroneously gives a positive reaction in 2 2% 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 " What is the probability of Type I error? (Round your answer to 2 decimal places.) What is the probability of Type II error? (Round your answer to 2 decimal places.)

Explanation / Answer

We are given

p ( positive / have disease ) = 0.962

So p ( Negative/ have disease ) = 1 - 0.962 = 0.038 =0.04 Type II error

This we called as type II error.

Now we have

p ( positive / do not have disease )= 0.022 =0.02= type I error

so p ( negative / do not have disease ) = 1 - 0.022 = 0.978

Blood Test positive negative do not have disease 0.022 0.978 have disease 0.962 0.038

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---