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

Answers

Answer 1

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;

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

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

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

Therefore;

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


Related Questions

help please important!!!!^click picture

Answers

an integer is a whole number
so 26.5 is equivalent

solve graphically this linear system of equations[tex]\left \{ {{x=3} \atop {y+1=0}} \right.[/tex]

Answers

Answer:

(3,-1)

Step-by-step explanation:

The given equations are :

x = 3 ..(1)

y+1 = 0 ....(2)

We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.

For y+1=0

y = -1

Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).

Find the slope of the graph.

Answers

Answer:

The slope is -1.3

Step-by-step explanation:

Plug it in stat, but Ill try to explain it. y2-y1/x2-x1

(-3,4)(3,-4)

-4-4/3-(-3) = -1.3

Please help.
Is algebra.

Answers

Answer:

1 is C

2 is B

3 is C

Step-by-step explanation:

Answer:

give em brainliest because i have no idea

Step-by-step explanation:

Hello, can someone please assist me with this problem.

Answers

So for this problem you need to find the length of a side of the square. To do this you can use Pythagorean theorem to find the length of the right triangle with the side of the square as it’s hypotenuse.
The Pythagorean theorem is:
a^2 + b^2 = c^2
a = 1 and b = 3
1^2 + 3^2 = c^2
10 = c^2
square root of 10 = c

Now that we know the length of the side, we can find the area of the square. Area of a square = side^2, so:
Area = (square root of 10)^2 = 10

The area of the square is 10!

-4(z + 3) - 4(5 - 4z) solution

Answers

Answer:

12z-32

Step-by-step explanation:

-4z-12-20+16z

Quickly please I only have a few minutes

Answers

Answer:

1=4

5=8

2=5

Step-by-step explanation:

Answer:

1, 5, 2 is the x values.

Step-by-step explanation:

you just subtract 3 from the y's

Which set of ordered pairs does not represent a function?

Answers

Answer is First one
Step by step explanation
In first one y=0

Answer:

Hi! The answer to your question is D. {(0,0),(0,1),(1,2)(1,3)}

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka


I need help on this. ​

Answers

g = 2
:::::::::::::::::::

Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour

Answers

Answer:

c or d sorry if I'm wrong

Step-by-step explanation:

I think it's your d because of the shortest answers and they're the only two that makes sense

The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?

Answers

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1,  and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

What is the result of subtracting the second equation from the first ? -7x-y=0 and 7x+8y=-6

Answers

Answer:

- 14x - 9y = 6

Step-by-step explanation:

- 7x - y = 0 → (1)

7x + 8y = - 6 → (2)

Subtracting (2) from (1) term by term

- 7x - 7x - y - 8y = 0 - (- 6)

- 14x - 9y = 0 + 6

- 14x - 9y = 6

Find the surface area.
24 in.
40 in.
10 in.
26 in.

Answers

Answer:

100 i think

Step-by-step explanation:

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

True or False: When conducting a survey of a group of people, you must interview every person in that population A Truc B False​

Answers

A. its true.........

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A would be the answer I would choose

Pls help me I don't get it.
Pls indicate steps

Answers

I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.

Answer:

x = -3, y = 3

Step-by-step explanation:

multiply the equation 3y - x = 12 by 3:

=> 9y - 3x = 36

now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:

=>    9y - 3x = 36

 +)   4y + 3x = 3

______________

       13y        = 39

=>       y         = 3

substitute y = 3 into the original equation 3y - x = 12 to solve for x:

3(3) - x = 12

=> -x = 12 - 9

=> -x = 3

=> x = -3

Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.

How many hours did Sarah practice in all?

Answers

She practiced 288 hours in totally

In 3^6, 6 is called ___.



base


exponent

Answers

The answer is B, Exponent

Step-by-step explanation:

the correct answer is exponent because 6 is its power.

hope this answer will help u.

have a great time.

how can you find the diameter of this circke

Answers

Answer:

10cm

Step-by-step explanation:

pretty sure the diameter is measured by multiplying the radius twice :)

Answer:

Diameter = 10 cm

Circumference = 31.43 cm

Area = 78.57 cm²


[tex]12 \frac{3}{6} + 14\frac{4}{6} [/tex]
i don't know what's the answer i been trying it this but i can't​

Answers

27 1/6 or 163/6 or 27.16

Answer:

27 1/6

Step-by-step explanation:

14 + 12=26

4+3=7

26 7/6= 27 1/6

Can somebody help me

Answers

Answer:

25

Step-by-step explanation:

If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.

PLEASE HELP AND ILL GIVE BRAINLIEST ​

Answers

Answer:

2

Step-by-step explanation:

Subtract the number with the term both sides ( which is 9)

[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]

Complete the square for the x terms and y terms.

( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)

[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]

[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]

Take the square root of the right side to find the radius

[tex] \sqrt{4} = 2[/tex]

Can someone pls help me ASAP I’ll give brainiest


Also show how u got the answer step by step pls

Answers

3^x+1=3^3
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can somebody help me please

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] → B

You would like to lease a car worth $61,815 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $44,999. What percentage represents the residual value of your leased car?

Answers

Answer:

72.8%

Step-by-step explanation:

Percentage residual value = (residual value / worth of the car) x 100

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Answers

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Answers

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66 ft
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Answers

66ft is the answer :))))

Answer:

66ft

Step-by-step explanation:

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Answer: W=12m

Step-by-step explanation:

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