A certain disease has an incidence rate of 0.2%. If the false negative rate is 4% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.

Answers

Answer 1
“false negative rate” of 6% means that the test has sensitivity of 94%, and that the “false positive rate” of 2% means that the specificity is 98%.

The total number of positive tests, in this background of 0.3% prevalence, will be (as a fraction of all tests):

True positive results plus false positive results:

(0.003 x 0.94) + (0.997 x 0.02) = 0.00282 + 0.01994 = 0.02276

So, if 100,000 people in this population are tested,

2276 will have a positive test result.
Only 282 of those testing positive will actually have the disease.

18 people who have the disease will be missed in this testing.

The predictive value of a positive result is the number of true positives divided by the total number of positives, 282 ÷ 2276 = .123905…….., or 12.4%

87.6% of persons testing positive for the disease will not have the disease in this background of low disease prevalence.

If disease prevalence is different, these numbers will be different.

Let’s suppose we have an epidemic, and the prevalence is now ten percent, thirty-three times the level in the original case. The calculation is now:

True positive results plus false positive results:

(0.10 x 0.94) + (.90 x 0.02) = 0.094 + 0.018 = 0.112

Notice, that with the increase in prevalence of the disease, true positives have increased from .00282 to .094, a factor of 33.3, the same multiple as the increase of the disease in the population, and the false positives have decreased by about 10%, the same decrease as the number of true negatives in the population. All of the false positives came from people who don’t have the disease. Since there are now fewer of them in the population, as they’ve been replaced by people who have the disease, there are now fewer false positives.

The new predictive value of a positive result is: .094 ÷ .112 = .839, or 83.9%. This is 6.77 times the first result.

Related Questions

What is the Slope of x-y=6?

Answers

m= 1 “ m” is an abbreviation for slope.


what the answer to the math question?

Answers

0, 3, 5, 8

pretty sure, i have bad memory

Find the length of line segment x.
A)
4
B)
5
6
7

Answers

Answer:

x = 6

Step-by-step explanation:

4(x + 4) = 5(3 + 5) => Intersecting Secants Theorem

4(x + 4) = 5(8)

Open the bracket

4x + 16 = 40

Subtract 16 from each side

4x + 16 - 16 = 40 - 16

4x = 24

4x/4 = 24/4

x = 6

The length of the segment x is 6

The length of the segment x is calculated using the Intersecting Secants Theorem

This is represented as:

[tex]4(x + 4) = 5(3 + 5)[/tex]

Evaluate 3 + 5

[tex]4(x + 4) = 5(8)[/tex]

Open brackets

[tex]4x + 16 = 40[/tex]

Collect like terms

[tex]4x = 40 - 16[/tex]

Evaluate the like terms

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]x = 6[/tex]

Hence, the length of the segment x is 6

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Which statement about the values 0.034 and 3.40 are true

Answers

Answer:

See Explanation

Step-by-step explanation:

This question requires options.

Since none is provided, I will give a general solution.

We have: 0.034 and 3.40

Required

The relationship between them

3.40 can be expressed as:

[tex]3.40 \to 0.034 * 100[/tex]

This means that 3.40 is 100 of 0.034

Similarly, 0.034 can be expressed as:

[tex]0.034 \to 3.40 * \frac{1}{100}[/tex]

This means that 0.034 is 1/100 of 3.40

the sum of two rational numbers is -2. if one of the numbers is -14/5 find the other number

Answers

The other number is 4/5

Step-by-step explanation:

let the number be x

if one of the numbers is -14/5

The sum of two rational numbers is -2.

Here, we get the equation

x + (-14/5) = -2

x - 14/5 = -2

x = 14/5 - 2

x = 14 - 2 × 5 ÷ 5

x = 14 - 10 ÷ 5

x = 4/5

Thus, The other number is 4/5

FOR VERIFICATION ONLY:

x + (-14/5) = -2

4/5 + (-14/5) = -2

4/5 - 14/5 = -2

4 - 14/5 = -2

-10/5 = -2

-2 = -2

Hence, L.H.S = R.H.S

-TheUnknownScientist

Adam, Linda and Rytis share an amount of money.
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gets



please answer for this question

Answers

Answer:

Step-by-step explanation:

Bbb

Polynomial in standard form

1.
7-3x^3+6x^2

2.
2y-3-8y^2

Answers

Answer:

[tex]-3x^3+6x^2+7[/tex][tex]-8y^2+2y-3[/tex]

Step-by-step explanation:

The terms are ordered from greatest to least degree.

What is the quotient of the following division problem?

97 - 9 = ?

A. 12 r7
B. 9r7
C. 10 r8
D. 107

Answers

Answer:

D. 10r7

Explaination:

9 goes into 97 10 times, and has a remainder of 7

If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose


PLEEEEASE HELP!!!!!

Answers

280 AND 245 RS  the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs

How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of today

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-50 POINTS- only answer if you know. NOT (4,7) OR (5,2).

Answers

Answer:

(8, -2)

Step-by-step explanation:

Given:

[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]

[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.

When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:

(x, y) → (x, -y)

Therefore:

[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]

neeeeeeeeeeeeeedddddddddddddddddddd will give brain

Answers

Answer:

7

Step-by-step explanation:

11 times 7 =77

What is the y intercept of the graph of the equation y=3(2)^x

Answers

Answer:

y-int. is (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

If 1 summon cost 80 gold and each summon gives you 20 points how much points will 10 summons give you?

Answers

Answer:

200

Step-by-step explanation:

cause 10 x 20=200

Answer:

100

Step-by-step explanation:

The first part is useless, so let it go

The second is exactly what we need

1 : 20

10 : 200

Those are the ratios and the other answer explains it easily

Find the value of X. Round your answer to the nearest tenth.

Answers

Answer:

60°

Step-by-step explanation:

check the above attachment to verify the answer.

help please!
write in terms of i​

Answers

Answer:

2√10i

Step-by-step explanation:

√-40 = √40 × √-1

= √(4 × 10) × √-1

= √4 × √10 ×√-1

√-1 = i

√40 = 2√10i

hope this helps (2i square root of 10)

Find the greatest common factor of the
following monomials:
gh5
OOHO
Clear all
10g5h4
Enter the correct answer.
?
DONE

Answers

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.

What is monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables. Let us consider an expression 6xy2. The variables, the coefficient, and the degree of this monomial are shown in the table given below. Observe the table to learn the various parts of the monomial 6xy2.In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials. In other words, each term in a polynomial is a monomial.

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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.
Entering GPA Current GPA
3.5 3.6
3.8 3.7
3.6 3.9
3.6 3.6
3.5 3.9
3.9 3.8
4.0 3.7
3.9 3.9
3.5 3.8
3.7 4.0

Answers

Answer: y=3.67+0.313x

Step-by-step explanation:

I just took the test. Good luck, future hustlers.

solve this please! I'll say your answer is the brainliest..

Answers

Answer:

46.6666667 mi/hr

20.8618519 m/s

Answer:

other person is right

Step-by-step explanation:

In Exercises 10-11, find the range of the function.

10. k(x) = x² + 9

11. f(x) = (x + 5)² +3

Answers

As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

What is function?

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

The formula is presented as

k(x) = x² + 9

The aforementioned equation is linear.

 the range is (-∝, ∝) and the domain is(-∝, ∝) 

Formula 2

The formula is presented as

y = (x + 5)² +3

The aforementioned equation is linear.

The range is (-∝, ∝), and the domain is (-∝, ∝).

As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

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Write a system of equations for the word problem and then solve to find the answer.

At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________

Answers

Answer:

Sam's team scored 20 points. Ben's team scored 60 points

Step-by-step explanation:

b = 3s

s + b = 80

Substitute

s + 3s = 80

4s = 80

s = 20

What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary. 2, 4, 6, 9, 14

Answers

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]

And the population standard deviation is:

[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]

And the population standard deviation is:

[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]

An investment of $2,500 compounded continuously at an annual interest rate of 2.5%.
The investment is kept in the account for 25 years.

Answers

Answer:

4,670.61 Dollars

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.5/100

r = 0.025 rate per year,

Then solve the equation for A

A = Pert

A = 2,500.00(2.71828)(0.025)(25)

A = $4,670.61

Use what you know about decomposing fractions to write 11/10 as a mixed number

Answers

Answer:

11/10 as a mixed number is 1 and 1/10

Step-by-step explanation:

10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.

The following graph represents the function f(x). Sketch and label the following functions on the same coordinate plane

Answers

Answer:

It's in the attachment

hope it helps...

have a great day!!

How many total people responded to the survey? And can i get the numbers that are missing that’s supposed to be place in the missing spots

Answers

Answer:

56          42               98

3             7                 10

59           49              108

Step-by-step explanation:

108 people responded to the survey

80/100 as a percentage​

Answers

Answer:

80%.

Step-by-step explanation:

Since,

Any number if divided by hundred then that no. is known as a percentage.

Here,

80 is divided by 100 i. e.

80 / 100

= 80% (Ans)

Answer:

[tex]80\%[/tex]

Step-by-step explanation:

Write the problem as a mathematical expression.

[tex] \frac{80}{100} [/tex]

Convert to decimal.

[tex]0.8[/tex]

Multiply 0.8 by 100 to convert to a percentage.

[tex]0.8 \times 100[/tex] [tex]80\%[/tex]Hope it is helpful.....

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The equations that are true for x = –2 and x = 2 are:

x^2-4=0 and 4x^2 = 16

How can the equation be known?

We can determine the equations that are true for x = –2 and x = 2 by testing the given options:

After testing the options option  1 ; x^2-4=0 putting x = 2 or -2 into the equation will give zero.  

(2^)2-4=0

(-2)^2-4=0

Then option 4: 4x^2 = 16

4(2)^2 = 16

4(-2)^2 = 16

Therefore, option 1st and 4th are correct.

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When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?

Answers

Answer:   $615

Work Shown:

75+54m

75+54*10

75+540

615

I need help with problem eight.


Forty points for whoever answers this problem

Answers

Answer:

1

Step-by-step explanation:

1/1260 = 0.00079365079

0.00079365079 * 1260 = 1

Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?

Answers

Answer:

[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]

Max made 50 sandwiches

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