1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
algol [13]
2 years ago
6

In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to

correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive
Mathematics
1 answer:
pochemuha2 years ago
7 0

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test  \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

The \ positive \  predictive  \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased  +ve} \times 100

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

You might be interested in
Which of the following is the statement of the triangle inequality theorem?
kupik [55]

we know that

<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

<u>case 1)</u>

a+b > c

<u>case 2)</u>

a+c > b

<u>case3)</u>

c+b > a

therefore

<u>the answer is the option</u>

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

5 0
3 years ago
Read 2 more answers
Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.
LiRa [457]

Answer:

to describe the transformation in words you could say, triangle ABC was moved to the right 4 times and down 3 times.

4 0
3 years ago
Use a calculator to find the value of these data. Round the value to three
insens350 [35]

Answer:

-1, -1.1, 0.9, 1

Step-by-step explanation:

6 0
2 years ago
What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, 0)
dusya [7]

The answer would be (–4, 0) (–4, 0), (4, 0) (–4, 0) and (4, 0)


You would be looking for anything that is on the X access on the coordinate plan, so it would somewhat have to be a straight line, the way you can find that is (x, y)  so whatever is in X will be your answer!

3 0
3 years ago
Read 2 more answers
Help meeeeeeeeeee<br> Help meee
Alinara [238K]

Answer:

y

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What value of a makes this equation true?
    7·2 answers
  • What is one twelve of 1
    5·1 answer
  • PLEASE HURRY AND HELP
    11·1 answer
  • Number 4. Please help
    11·1 answer
  • Please help. We have this for homework.
    8·1 answer
  • Is the function represented by the table non-linear?
    6·1 answer
  • Please help pls pls pls plssss
    6·2 answers
  • Simplify (x - y + 1) - (x + y - 1).-2x + 2y-2y + 22y - 22x - 2y + 2
    12·1 answer
  • Someone please help me on c)​
    9·1 answer
  • Please help:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!