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 95.5% of the people who have that disease. However, it erroneously gives a positive reaction in 5.0% 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 95.5% of the people who have that disease. However, it erroneously gives a positive reaction in 5.0% 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

Solution:-

a. Type I error : 0.050

b. Type II error : 1 - 0.955 =  0.045

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