Question
In: Statistics and Probability
A blood test indicates the presence of a particular disease 96% of the time when the...
A blood test indicates the presence of a particular disease 96% of the time when the disease is actually present. The same test indicates the presence of the disease 0.8% of the time when the disease is not present. Two percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease.
Solutions
Expert Solution
P(actually has the disease) = 0.02
P(test indicates the presence of the disease | actually has the disease) = 0.96
P(test indicates the presence of the disease | the disease is not present) = 0.008
P(test indicates the presence of the disease) = P(test indicates the presence of the disease | actually has the disease) * P(actually has the disease) + P(test indicates the presence of the disease | the disease is not present) * P(the disease is not present)
= 0.96 * 0.02 + 0.008 * (1 - 0.02)
= 0.02704
P(person has the disease | the test indicates the presence of the disease) = P(test indicates the presence of the disease | actually has the disease) * P(actually has the disease) / P(test indicates the presence of the disease)
= 0.96 * 0.02 / 0.02704
= 0.71
orchestra answered 1 year agoRelated Solutions
We are only given the accuracy of the blood test and prevalence of the disease in...
We are only given the accuracy of the blood test and prevalence
of the disease in our population. We are told that the blood test
is 98 percent reliable, this means that the test will yield an
accurate positive result in 98% of the cases where the disease is
actually present. Gestational diabetes affects 9 percent of the
population in our patient’s age group, and that our test has a
false positive rate of 12 percent. Use your knowledge of...
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease....
A new medical test has been designed to detect the presence of
the mysterious Brainlesserian disease. Among those who have the
disease, the probability that the disease will be detected by the
new test is 0.78. However, the probability that the test will
erroneously indicate the presence of the disease in those who do
not actually have it is 0.02. It is estimated that 19 % of the
population who take this test have the disease.
If the test administered...
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 0.93. However, the
probability that the test will erroneously indicate the presence of
the disease in those who do not actually have it is 0.03. It is
estimated that 3% of the population who take this test have the
disease. (Round your answers to three decimal places.)
(a)...
The mean survival time for patients with a particular form of disease is 4 years. A...
The mean survival time for patients with a particular form of
disease is 4 years. A new treatment is tried on 20 patients with
this particular disease and their average survival time is 4.7
years with a standard deviation of 1.5 years.
(a) State the direction of the alternative hypothesis to test if
the new treatment constitutes a significant improvement in survival
time. Type gt (greater than), ge (greater than or equal to), lt
(less than), le (less than or...
Test whether the sample evidence indicates that the average time an employee stays with a company...
Test whether the sample evidence indicates that the average time
an employee stays with a company in their current positions is less
than 3 years when a random sample of 64 employees yielded a mean of
2.765 years and s = 0.8. Use a = 0.01. Assume normal
distribution.
Describe the pattern in a line graph that indicates the presence of an interaction effect in...
Describe the pattern in a line graph that indicates the presence
of an interaction effect in a factorial design.
A ______________________ is a “lawn” of plated bacteria indicates the presence and activity of wild-type bacteriophage...
A ______________________ is a “lawn” of plated bacteria
indicates the presence and activity of wild-type bacteriophage that
have undergone recombination.
ANSWERS:
plaque
lysogenic colony
lytic phage
a lytic colony
none of these choices are correct
1. The presence of protein in the urine indicates which of the following? Select one: A....
1. The presence of protein in the urine indicates which of the
following?
Select one:
A. damage to the renal tubules
B. damage to the filtration membrane
C. too much protein in the diet
D. high levels of transcription and translation by the bodies
tissues
Question 2
Adipose tissue is one of the most hydrated of all tissues in the
human body.
Select one:
True
False
Question 3
The path urine takes after it is formed until it leaves the...
Performance Data Group Test 1 Test 2 1 96 85 1 96 88 1 91 81...
Performance Data
Group
Test 1
Test 2
1
96
85
1
96
88
1
91
81
1
95
78
1
92
85
1
93
87
1
98
84
1
92
82
1
97
89
1
95
96
1
99
93
1
89
90
1
94
90
1
92
94
1
94
84
1
90
92
1
91
70
1
90
81
1
86
81
1
90
76
1
91
79
1
88
83
1
87
82
0
93
74
0...
Consider measuring the time until death after diagnosis of a particular disease, and suppose that we...
Consider measuring the time until death after diagnosis of a
particular disease, and suppose that we have complete follow up, so
that all death times are observed. We will assume the following to
be known values for the population. We know that the mean time
until death after diagnosis is 6.5 years. We also know that the
standard deviation of time until death is 4.1 years. Further, we
know that the distribution of time until death is very strongly
skewed...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The following time series shows the sales of a particular product over the past 12 months....
- Would the voltage of a battery in circuit be larger or smaller than the voltage of...
- The current asset section of the Excalibur Tire Company’s balance sheet consists of cash, marketable securities,...
- Part 1: Explain and provide a real life business example for equivalent units. Explain the importance...
- A company produces three different type of chocolates. A, B, and C. The sales volume for...
- When considering labeling someone with a disorder it is important that we use the most up...
- 7. The director of career advising at Rutgers want to use decision analysis to provide...
ADVERTISEMENT