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
Alexandra [31]
3 years ago
8

medical tests. Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a

survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as "Sick" has the disease, while someone listed as "Not Sick does not "Tested Positive means the test indicated the person was sick, and "Tested Negative" means the test indicated they were not sick. The test is believed to be around 99% accurate. Sick Not Sick Tested Positive 59 75 Tested Negative 1 7365 h One person at random is chosen from the group (3 pts) Find the probability the person is sick. b. (3 pts) Find the probability the test is positive given that the person is sick (3 pts) Find the probability the test is negative given that the person is not sick. d. (pts) Find the probability the person is sick given that the test is positive (3 pts) Find the probability the person is not sick given that the test is negative. f. (5 pts) When we say a test is 99% accurate, to what is that referring? Given vour calculations, should information other than a single test be considered when diagnosing a rare condition? If so, what other information might be considered? Criteria for Success​

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Probabilities are used to determine the chances of an event

  • The probability that a person is sick is: 0.008
  • The probability that a test is positive, given that the person is sick is 0.9833
  • The probability that a test is negative, given that the person is not sick is: 0.9899
  • The probability that a person is sick, given that the test is positive is: 0.4403
  • The probability that a person is not sick, given that the test is negative is: 0.9998
  • A 99% accurate test is a correct test

<u />

<u>(a) Probability that a person is sick</u>

From the table, we have:

\mathbf{Sick = 59+1 = 60}

So, the probability that a person is sick is:

\mathbf{Pr = \frac{Sick}{Total}}

This gives

\mathbf{Pr = \frac{60}{7500}}

\mathbf{Pr = 0.008}

The probability that a person is sick is: 0.008

<u>(b) Probability that a test is positive, given that the person is sick</u>

From the table, we have:

\mathbf{Positive\ and\ Sick=59}

So, the probability that a test is positive, given that the person is sick is:

\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}

This gives

\mathbf{Pr = \frac{59}{60}}

\mathbf{Pr = 0.9833}

The probability that a test is positive, given that the person is sick is 0.9833

<u>(c) Probability that a test is negative, given that the person is not sick</u>

From the table, we have:

\mathbf{Negative\ and\ Not\ Sick=7365}

\mathbf{Not\ Sick = 75 + 7365 = 7440}

So, the probability that a test is negative, given that the person is not sick is:

\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}

This gives

\mathbf{Pr = \frac{7365}{7440}}

\mathbf{Pr = 0.9899}

The probability that a test is negative, given that the person is not sick is: 0.9899

<u>(d) Probability that a person is sick, given that the test is positive</u>

From the table, we have:

\mathbf{Positive\ and\ Sick=59}

\mathbf{Positive=59 + 75 = 134}

So, the probability that a person is sick, given that the test is positive is:

\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}

This gives

\mathbf{Pr = \frac{59}{134}}

\mathbf{Pr = 0.4403}

The probability that a person is sick, given that the test is positive is: 0.4403

<u>(e) Probability that a person is not sick, given that the test is negative</u>

From the table, we have:

\mathbf{Negative\ and\ Not\ Sick=7365}

\mathbf{Negative = 1+ 7365 = 7366}

So, the probability that a person is not sick, given that the test is negative is:

\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}

This gives

\mathbf{Pr = \frac{7365}{7366}}

\mathbf{Pr = 0.9998}

The probability that a person is not sick, given that the test is negative is: 0.9998

<u>(f) When a test is 99% accurate</u>

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

Read more about probabilities at:

brainly.com/question/11234923

You might be interested in
Peter reflected parallelogram ABCD across the y-axis. If angle A is 115° and angle B is 65°, what is the degree measurement of a
IgorLugansk [536]
All angle measure is preserved, therefore measure of A' is 115
6 0
3 years ago
Read 2 more answers
Find the perimeter of the figure. round all figures to the nearest hundredth Place
slavikrds [6]

Answer:

C

Step-by-step explanation:

The perimeter of a figure is found by adding the sides of all the figures. The figure has sides 13 and 9. Its height is 4 so each of those sides is about 4 feet. So the perimeter is 13+9+4+4 = 30

C is the best solution.

4 0
3 years ago
Read 2 more answers
Pl ease help what is with give brainlist answer!
expeople1 [14]

Answer:

option 1 is true. -1/2=-0.5

6 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the points (0,4)(0,4) and (2,10)(2,10). $y=
lutik1710 [3]
I am going to guess you want to find a line which passes through the points (0,4) and (2,10)...

y₂-y₁ / x₂-x₁
10 - 4 / 2 - 0
6 / 2
3....slope
(0,4) .....b

y = 3x + 4
3 0
3 years ago
Solve the proportion below.​
AveGali [126]

Answer:

where?????????????????????:/

3 0
3 years ago
Read 2 more answers
Other questions:
  • About how many feet of water pipe will melina need
    13·1 answer
  • Can anyone help me with this?
    12·1 answer
  • Find the value of n so that the line perpendicular to y = (-1/4)x-1 passes through the points (n, 3) and (4,11).
    10·1 answer
  • What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?
    13·1 answer
  • What is the answer to inequality? five less five times a number is more than 23
    11·1 answer
  • Find side b if side a = 10 inches and side c = 16 inches.Round to the nearest hundredth if the answer is uneven
    9·1 answer
  • The diameter of letias cup is 3 inches. What is the circumference
    8·1 answer
  • Rob is making a pizza the radius of the pizza is 21 inches what is the circumference of the pizza using 3.14 rounded to the near
    6·1 answer
  • I need help!! ASAP!!
    13·1 answer
  • What’s the difference between point A (3,4) and B (-1,4) on a coordinate plane?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!