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


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Answers

Answer:

16. Right isosceles

17. D

Step-by-step explanation:

The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.

16. right isosceles

17. C: all rectangles are squares

What is the scale factor from the original triangle to its copy as a percent?

The picture is down below.

Answers

Answer:

scale factor = 20%

Step-by-step explanation:

A scale factor is a multiplier which can be used to determine the rate between two or more dimensions.

In the given figure, the sides of the original triangle is 5 times greater than that of the copy. Thus,

the scale factor = [tex]\frac{copy length}{original length}[/tex] x 100%

                          = [tex]\frac{1}{5}[/tex] x 100%

                          = 20%

The scale factor of the original triangle to its copy is 20%. This implies that the dimensions of the original triangle are multiplied by 20% to determine that of the corresponding copy triangle. Thus, we scale down the dimensions of the original triangle by 20%.

Please help me solve this.

Answers

Answer: 59

Step-by-step explanation:

Given

2b³+5 and b=3 ⇒ 2b³+5=2(3)³+5

Simplify exponents

 2(3)³+5

=2(3×3×3)+5

=2×27+5

Multiplication

=54+5

Addition

=59

Hope this helps!! :)

Please let me know if you have any questions

HELP FAST No DECIMAL plz!

Answers

Answer: 1,145,375 centimeters cubed

Step-by-step explanation:

Answer: 1,145,375cm I think

Step-by-step explanation:

Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to make 3 cupcakes

Answers

multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes

Randomly select a painted rock from a bag containing 4 purple rocks, 3 green rocks, 3 orange rocks, and 2 blue rocks.

Answers

Answer:

i got a orange

Step-by-step explanation:

I would choose blue rocks bestie

Use the formula to find the simple interest:
$34,100 at 4% for 3 years

Answers

Answer:

$4092

Step-by-step explanation:

Determine whether each set of data represents a linear, an exponential, or a quadratic function. (Desmos)

Answers

Answer:

Linear: The first and third one. (0,5) & (1,1)

Exponential: The second one (above). (-2, 1/16)

Quadratic function: The last one (below). (-3,35)

Step-by-step explanation:

SOMEONE PLEASE HELP I'VE BEEN ASKING FOR DAYS NOW WITH SCALE FACTOR!!!!! I will give brainliest if right!!!!!!

Answers

Answer:

It has been answered for you

See this:

https://brainly.com/question/23012157

(-1 1/4 divided by (-0.2)

Answers

Answer:

6.25

Step-by-step explanation:

You are given the line y=-2x-5, and it then shifted up 2 units. Write your equation of the new line.

Answers

Answer:

i think the answer is 119943147893471987 yes its as easy as 1+1

Step-by-step explanation:

Answer: y=-2x-3

Step-by-step explanation:

HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!

Answers

Answer:

i am unsure

Step-by-step explanation:

I HEART POINTS

x+y=94 -> y=94-x
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53

Plug x back into equation
x-y=12
53-y=12
y=41

x= 53, y=41

Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29

Plug x back into equation
x+y=66
29+y=66
y = 37

x=29, y=37

Find the midpoint of the segment with the following endpoints.
(9,6) and (5,2)

Answers

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100 meters

Step-by-step explanation:

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Side A = 367 9/100 meters

Side B = 329 3/10 meters

How much fence does Ben need to buy?

Total fence Ben needs to buy = Side A + side B

= 367 9/100 + 329 3/10

= 36709/100 + 3293/10

= (36709+32930) / 100

= 69639/100

= 696 39/100 meters

Ben needs to buy 696 39/100 meters


Please help. No files allowed or you will be reported

Answers

the answer should be 27/256

I need this answer I’ll give brainliest

Answers

Replacing x with 1 and y by 11:
1^6 equals 1 and 11^2 equals 121
So 1+ 121
=122

2) Check to see if x = 2 is the solution to this equation Explain your
reasoning with words and work. Be clear and completel
- 4x - 12 = 2x -8

Answers

x=2 is not the answer because when substituting 2 for x in both problems the answers are different.
-4(2)-12=-20
2(2)-8=-4
-20 does nothing equal to -4 which means x=2 is invalid

A helicopter hovers 1150 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 39° How far off the coast to the nearest foot is island?

Answers

tan 39 = 1150/D (Opposite/Adjacent)
D = 1420 ft

I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia

Answers

The term "United States", when used in the geographical sense, is the contiguous United States, the state of Alaska, the island state of Hawaii, the five insular territories of Puerto Rico, Northern Mariana Islands, U.S. Virgin Islands, Guam, and American Samoa, and minor outlying possessions.[1] The United States shares land borders with Canada and Mexico and maritime borders with Russia, Cuba, the Bahamas, and other countries,[note 2] in addition to Canada and Mexico. The northern border of the United States with Canada is the world's longest bi-national land border.

Each side of a square is increased 3 inches. When this happens, the area is multiplied by 25. How many inches in the side of the original square?

Answers

Answer:

s = 0.75 inches

Step-by-step explanation:

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 25 = 25 * s²

So,

s² + 6s + 9 = 25s²

25s² - s² - 6s - 9 = 0

24s² - 6s - 9 = 0

8s² - 2s - 3 = 0

a = 8

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)

= 2 ± √4 - (-96) / 16

= 2 ± √100 / 16

= 2 ± 10/16

s = 2 + 10/16 or 2-10/16

= 12/16 or -8/16

= 0.75 or -0.5

side length can not be negative

Therefore, s = 0.75

A = s²

A = (0.75)²

= 0.5625

A = (s+3)²

= (0.75+3)²

= 3.75²

= 13.95

What is the measure of angle x?

Answers

Answer:

47 degrees

Step-by-step explanation:

A triangle’s degrees add up to 180, so we can use that theorem

102 + 31 + x = 180

133 + x = 180

x = 47 degrees

Answer: 47
Explanation
102+31+x=180
133 plus x = 180
=47

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Answers

Answer:

The answer is 5x - 13

Step-by-step explanation:

All we do is add the x's and the other numbers.

2 + 3 = 5 and 10 + 3 = 13

So, the equation is 5x - 13

Hope this helps! :)

pls help asap

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate in standard form the equation of the line passing through the given points.

E(-2, 2), F(5, 1)

Answers

Answer:

The equation of the line that passes through the given points is ;

7y = -x + 12

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

The general equation form

is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us substitute the x and y coordinate values of each of the points;

for (-2,2); we have

2 = -2m + b

b = 2m + 2 •••••(i)

for F;

1 = 5m + b

b = 1-5m ••••••(ii)

Equate both b

1-5m = 2m + 2

1-2 = 2m + 5m

7m = -1

m = -1/7

Recall;

b = 2m + 2

b = 2(-1/7) + 2

b = -2/7 + 2

b = (-2 + 14)/7 = 12/7

The equation of the line is thus;

y = -1/7x + 12/7

Multiply through by 7

7y = -x + 12

What is the value of x?

Answers

Answer:

A

Step-by-step explanation:

the total angles can only add up to 180°, therefore 35 + 70 = 105, 180 - 105 = 75°. 75° = A.

Poosjsjdiwjqjsnsjjdd

Answers

Answer:

poosjsjdwjqisnsjjdd

Step-by-step explanation:

Answer:

what's the question?

HELPPPPPPPPPPPPPppppppppp number 4

Answers

Answer:

3 dots

Step-by-step explanation:

This should be correct due to there only being 3 100% on the table

thanks for the help! i dont really understand numbers with letters easily : )

Answers

Answer: x=6

Step-by-step explanation: Hope this help :D

What is the value of x?
5(x+2)=11

Answers

Answer:

X=1.8

Step-by-step explanation:

Step one: 5 times 1.8 equals 9.

Step two: 9+2=11

5(x+2)=11
5x+10=11
5x=11-10
5x=1
Then divide both sides with 5( the coefficient of x)
So x= 0.2 or 1/5 still the same answer

Mark as brainleast plzzz

13. What is the positive solution to this equation? 4x2 + 18 x= 162​

Answers

Answer:8.5 is x but there is an extra 1

Step-by-step explanation:18x8.5=153+8=162 with an extra one is 162

What is the area of a regular hexagon with an apothem of 28m in length

Answers

Step-by-step explanation:

can you check again the question , seems like something is missing.

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