Question

The screening process for detecting a rare disease is not perfect. Researchers have developed a blood...

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 94.6% of the people who have that disease. However, it erroneously gives a positive reaction in 4.1% 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.

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.)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood...
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 94.2% of the people who have that disease. However, it erroneously gives a positive reaction in 2.7% 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. a. What is the probability of a Type I error?...
A screening test for a rare form of TB has a 7% false positive rate (i.e....
A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates the absence of the disease in people who do have it). In a population of which 0.6% have the disease, what is the probability that someone who tests positive has the disease?
It’s known that 3 % of people in a certain population have the disease. A blood...
It’s known that 3 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 90% of people who have the disease, and it is also positive for 5% of healthy people One person is tested and the test gives positive result If the test result is positive for the person, then the probability that this person actually has a disease is _________ If the test result is...
Question 1. The main purpose of screening is to identify symptomatic disease using tests, exams, or...
Question 1. The main purpose of screening is to identify symptomatic disease using tests, exams, or other procedures. True False Question 2. The detectable pre-clinical phase of a disease starts when the disease can be identified by a screening test and ends when the disease produces symptoms. True False Question 3 .Diseases that are appropriate for screening… a. Have serious consequences b. Have a treatment that is more effective at an earlier stage c. Have a detectable preclinical phase that...
Suppose that 14% of the patients in a small town are known to have heart disease....
Suppose that 14% of the patients in a small town are known to have heart disease. And suppose that a test is available that is positive in 97% of the patients with heart disease but is also positive in 6% of patients who do not have heart disease. If a person is selected at random and given the test and it comes out positive, what is the probability that the person actually has heart disease? Round your answer to 4...
A virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000...
A virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000 people. An antibody test has been devised.    Among those with the virus,    the test correctly detects the person has been infected with probability 0.95.       Among those without the virus,   the test correctly identifies the person as virus free 0.95 % of the time. Suppose  you have tested positive for the disease.    How worried should you be? Answer this by computing your probability of having the...
3.9% of a secluded island tribe are infected with a certain disease. There is a test...
3.9% of a secluded island tribe are infected with a certain disease. There is a test for the​ disease, however the test is not completely accurate.​ 92% of those who have the disease will test positive. However​ 4.4% of those who do not have the disease will also test positive​ (false positives). Use a tree diagram to find the probability that any given person will test positive. Round your answer to three decimal places if necessary.
Assume breast cancer affects 0.005 of the Female population between 45 and 55 years of age....
Assume breast cancer affects 0.005 of the Female population between 45 and 55 years of age. There are two kinds of positive test results: True positive (the test indicates you have a disease, and you actually have it) False positive (the test indicates you have a disease, but you actually do not). Assume mammograms are 0.90 accurate detecting people who actually have breast cancer (true positive rate) 0.91 accurate for people who do not have breast cancer (true negative rate)....
Most medical tests used today have about a 5% false positive rate, which some doctors will...
Most medical tests used today have about a 5% false positive rate, which some doctors will take to mean that if a patient’s test comes back positive, that the patient has a 95% chance of having the disease. A 95% chance is very high, and so the doctor will assume that the patient has the disease and will start an aggressive and potentially dangerous course of treatment. For your first problem, you will show that, for rare diseases, this common...
Researchers testing a new medication find that 15% of users have side effects. What is the...
Researchers testing a new medication find that 15% of users have side effects. What is the probability that would a doctor prescribe the medication to 5 patients before finding one who has side effects. Round your answer to four decimal places. Please note: You must enter your answer as a decimal (not a percentage) rounded to four decimal places with a zero in front of the decimal point. Example: 0.6547
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT