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 94.4% of the people who have that disease.
However, it erroneously gives a positive reaction in 3.9% 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.
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.)
Homework Answers
a) Probability of Type I error = Concluding disease when individual doesn't have = 0.039
b) Probability of Type II error = Not concluding disease when individual has = 1 - 0.944 = 0.056
Add Answer to:
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...
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 94.8% of the people who have that disease. However, it erroneously gives a positive reaction 3.3% 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. o. What is the probability of a Type l error? (Round your...
Just need part c and d 11. The screening process for detecting a rare disease is...
Just need part c and d
11. 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% of the people who have that disease. However, it erroneously gives a positive reaction in 3% 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...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 92% reliable. In other words, if an individual lies, there is a 0.92 probability that the test will detect a lie. Let there also be a 0.080 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the...
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 th...
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?
A screening test for a rare from of TB has a 7% false positive rate (i.e....
A screening test for a rare from 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 18% false negative rate (i.e. indicates the absence of the disease in people who do have it). Suppose that 3% of the population have the disease. (i) Partition the sample space into those who have the disease, B1, and those who don’t have the disease, B2. Find...
ra Suppose a rare disease occurs in about 1 out of 1,000 people who are like...
ra Suppose a rare disease occurs in about 1 out of 1,000 people who are like you. A test for the disease has sensitivity of 92% and specificity of 87%. Using the technique described in this chapter, compute the probability (as a %) that you actually have the disease, given that your test results are positive. (Round your answer to two decimal places.) % 21
It’s known that 2 % of people in a certain population have the disease. A blood...
It’s known that 2 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 95% of people who have the disease, and it is also positive for 3% of healthy people. One person is tested and the test gives positive result. a. If the test result is positive for the person, then the probability that this person actually has a disease is _________ b. If the test...
The Institute of Infrequent Afflictions (IIA) says that cat flu is a rare disease that afflicts...
The Institute of Infrequent Afflictions (IIA) says that cat flu is a rare disease that afflicts 1.6% of the US population. The institute developed a test to detect this disease in the human body and a clinical trial was conducted. 1% of the subjects who had cat flu were identified incorrectly by the test. 2.5% of the subjects did not have the cat flu were identified incorrectly by the test Write down the six probabilities that this question gives us....
A medical test has been designed to detect the presence of a certain disease. Among people...
A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is 0.94. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.05. It is estimated that 6% of the population who take this test have the disease. (Round your answers to three decimal places.) (a)...
Researchers have suggested that personality type is related to heart disease. Specifically, type A people, who...
Researchers have suggested that personality type is related to heart disease. Specifically, type A people, who are competitive, driven, pressured, and impatient, are more prone to heart disease. On the other hand, type B individuals, who are less competitive and more relaxed, are less likely to have heart disease. Suppose than an investigator would like to examine the relationship between personality type and disease. For a random sample of individuals, personality type is assessed with a standardized test. These individuals...
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 94.8% of the people who have that disease. However, it erroneously gives a positive reaction 3.3% 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. o. What is the probability of a Type l error? (Round your...
Just need part c and d
11. 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% of the people who have that disease. However, it erroneously gives a positive reaction in 3% 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...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 92% reliable. In other words, if an individual lies, there is a 0.92 probability that the test will detect a lie. Let there also be a 0.080 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the...
ra Suppose a rare disease occurs in about 1 out of 1,000 people who are like you. A test for the disease has sensitivity of 92% and specificity of 87%. Using the technique described in this chapter, compute the probability (as a %) that you actually have the disease, given that your test results are positive. (Round your answer to two decimal places.) % 21
The Institute of Infrequent Afflictions (IIA) says that cat flu is a rare disease that afflicts 1.6% of the US population. The institute developed a test to detect this disease in the human body and a clinical trial was conducted. 1% of the subjects who had cat flu were identified incorrectly by the test. 2.5% of the subjects did not have the cat flu were identified incorrectly by the test Write down the six probabilities that this question gives us....
Most questions answered within 3 hours.
-
If we only have interstitial and substitutional diffusion, then
what do we consider the process of...
asked 42 seconds ago -
You look at yourself in a shiny 9.6-cm-diameter Christmas tree
ball.
If your face is 21.0...
asked 2 minutes ago -
If we were to measure the relaxation time of a muscle after
undergoing tetanus compared to...
asked 2 minutes ago -
4CO(g) + 8H2(g) -----> 3CH4(g) +
CO2(g) + 2H2O(l)
Use the following data as needed to...
asked 5 minutes ago -
without using map
1. Write a C++ program to find out the top 10 words in...
asked 18 minutes ago -
1)Calculate the percent ionization of a
0.330 M solution of hypochlorous
acid.
% Ionization = %...
asked 21 minutes ago -
1a) How many grams of K2SO4 are in 250mL
of 0.11 M K2SO4 solution?
_____ g...
asked 12 minutes ago -
The vapor pressure of a solution containing 38.7 g glycerin
(C3H8O3) in 146.2 g ethanol (C2H5OH)...
asked 17 minutes ago -
A physics major is cooking breakfast when he notices that the
frictional force between the steel...
asked 22 minutes ago -
A cyclohexane (c-hex) solution is prepared by fully dissolving
9.11g of a newly synthesized organic compound...
asked 28 minutes ago -
SCHEME :-)
[5 marks] Write a procedure called convert that takes as
arguments: a temperature value...
asked 34 minutes ago -
Are
Acetyl CoA and Pyruvate biological molecules that are used to get
ATP energy in aerobic...
asked 36 minutes ago