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Elena L [17]
3 years ago
8

MEDICAL TESTS. Medical tests are used to indicate whether a person has a particular disease. The sensitivity of a test is the pr

obability that a person having the disease will test positive (indicating the person has the disease, i.e., it’s the probability the test will pick up the fact that a person has the disease). The specificity of a test is the probability that a person not having the disease will test negative. A test for a certain disease has been in use for many years. Based on the "track record" of this test, its sensitivity is 0.934 and its specificity is 0.968. Finally, in the population, 1 in 500 people has the disease. What is the probability that a person who tests positive actually has the disease?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

The probability that a person who tests positive actually has the disease is 5.52%.

Step-by-step explanation:

One out of 500 people have the disease. That means 0.2% of the population (0.002).

Of this proportion, according to the sensitivity of the test, 93,4% (0.934) of them will test positive (true positives).

Also, the rest of the population, that represents 99.8% (0.998), don't have the disease, but, according to the specificity of the test, (1-0.968)=0.032 will test positive (false positives).

We have:

True positives tests = 0.002 * 0.934 = 0.001868, and

False positives tests = 0.998 * 0.032 = 0.031936

We can calculate the probability that a person who tests positive actually have the the disease as the division between the true positives and the total amount of positives:

P = True positives / (True positives + False positives)

P = 0.001868 / (0.001868+0.031936) = 0.055259733  = 5.52%

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3x + 4y = 16           Write original equation     
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I hope this helps!

4 0
3 years ago
Which situation would be represented by the integer 12?
eduard

Alll are integers since they are defined exactly.

5 0
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Write an equation of the line that passes through (0 0) and (2 6)
fiasKO [112]

Answer:

y = 3x

Step-by-step explanation:

Slope equation:

y2 - y1

--------

x2 - x1

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         6 - 0          6

m = ----------- =   ----- = 3

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Your slope is 3.

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Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

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Now to find b, you can use either coordinate point. So I will show you both ways :)

<u>(0,0)</u>                                                                     <u>(2,6)</u>

0 = 3(0) + b                                                     6 = 3(2) + b

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0 = 0 + b                                                         6 = 6 + b

Subtract 0 to 0                                            Subtract 6 from 6

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Your answer: y = 3x

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8 0
2 years ago
Suppose Adam wants to have $750,000 in his IRA at the end of 30 years. He decides to invest in an annuity paying 6% interest, co
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Answer:

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Step-by-step explanation:

The future value of a annuity formula can be used:

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Adam has to contribute $9,486.68 each year to reach his goal.

6 0
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