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
Answers
Probabilities are used to determine the chances of an event
The probability that a person is sick is: 0.008The probability that a test is positive, given that the person is sick is 0.9833The probability that a test is negative, given that the person is not sick is: 0.9899The probability that a person is sick, given that the test is positive is: 0.4403The probability that a person is not sick, given that the test is negative is: 0.9998A 99% accurate test is a correct test(a) Probability that a person is sick
From the table, we have:
[tex]\mathbf{Sick = 59+1 = 60}[/tex]
So, the probability that a person is sick is:
[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]
[tex]\mathbf{Pr = 0.008}[/tex]
The probability that a person is sick is: 0.008
(b) Probability that a test is positive, given that the person is sick
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
So, the probability that a test is positive, given that the person is sick is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{60}}[/tex]
[tex]\mathbf{Pr = 0.9833}[/tex]
The probability that a test is positive, given that the person is sick is 0.9833
(c) Probability that a test is negative, given that the person is not sick
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]
So, the probability that a test is negative, given that the person is not sick is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]
[tex]\mathbf{Pr = 0.9899}[/tex]
The probability that a test is negative, given that the person is not sick is: 0.9899
(d) Probability that a person is sick, given that the test is positive
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
[tex]\mathbf{Positive=59 + 75 = 134}[/tex]
So, the probability that a person is sick, given that the test is positive is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{134}}[/tex]
[tex]\mathbf{Pr = 0.4403}[/tex]
The probability that a person is sick, given that the test is positive is: 0.4403
(e) Probability that a person is not sick, given that the test is negative
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]
So, the probability that a person is not sick, given that the test is negative is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]
[tex]\mathbf{Pr = 0.9998}[/tex]
The probability that a person is not sick, given that the test is negative is: 0.9998
(f) When a test is 99% accurate
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.
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Related Questions
Find the slope of the line graphed below.
Answers
Slope is the change in y over the change in x.
Using the red dots:
Slope = (4 -1)/(4- -1) = 3/5
Slope = 3/5
i dont understand if anybody can help me i would be happy
Answers
Answer:
(2, 3)Step-by-step explanation:
The rule for this dilation is:
(x, y) → (x/2, y/2)Apply this rule to point B(4, 6):
B(4, 6) → B'(2, 3)Please help!!
2y = -1 + 9
3х — бу :
-15
M
Answers
x + 2y = 9
• Multiply the first equation by 3
3(x + 2y = 9)
• Rewrite equation 1
3x + 6y = 27
• Write both equations
3x + 6y = 27
3x - 6y = -15
• Subtract equation 1 from equation 2
3x + 6y = 27
-
3x - 6y = -15
• Write the reaming values
12y = 42
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12y = 42 ➗ 12
• Write value of y
y = 3.5
• Substitute the value of y into one of the original equations
2(3.5) = -x + 9
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7 = -x + 9
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x = 2
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Apply the distributive property to factor out the greatest common factor 21+25
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Answer:
there is not a common factor
Step-by-step explanation:
Which is longer
1m 200 cm 3ft 700mm 1 yard
Answers
Answer:
200 centimeters is the longest of the five.
What is 300251 rounded to the nearest Highest Place
Answers
Answer:
30,000
Step-by-step explanation:
prove that the sum of any 5 consecutive natural numbers is divisible by 5
Answers
Answer:
Let the 5 consecutive numbers be x, x + 1, x + 2, x + 3 and x + 4.
The sum of the 5 consecutive numbers,
x + x + 1 + x + 2 + x + 3 + x + 4
= x + x + x + x + x + 1 + 2 + 3 + 4
= 5x + 10
To prove : -
The sum of any 5 consecutive natural numbers is divisible by 5.
Proof : -
( 5x + 10 ) / 5
= ( 5x / 5 ) + ( 10 / 5 )
= x + 2
Hence proved.
Therefore,
The sum of any 5 consecutive natural numbers is divisible by 5.
Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?
What is the answer for this question?
Answers
Answer:
$260
Step-by-step explanation:
620-100=520 ( to make both of them equal)
520÷2=$260
Hope this helps! Thanks.
Janet hiked 3/8 mile in 1/4 hour how fast did she hike in miels per hour
Answers
Answer:
[tex]1\frac{1}{2}[/tex] miles per hour
Step-by-step explanation:
To solve, multiply both sides by 4;
[tex]\frac{1}{4} *4=4\\\\\\[/tex]
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Answer:
1c2a3b
Step-by-step explanation:
Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!
Answers
h = 23-7 = 16
Simplify completely: - 30+ (5) – (s) Pay attention to
the negatives!
Answers
Answer:1
Add the numbers
3
0
+
5
−
30+5−s
3
5
−
35−s
2
Rearrange terms
Solution
−
+
3
5
Step-by-step explanation:
Please help fast!! Quarter ends tonight!
Answers
Answer:
-18
Step-by-step explanation:
2 x -2^3 + 3 x 2 x -1 - 4 x -1^2 = -18
Answer I think is 18
Step-by-step explanation:
The first part is 16, then the second part is 6, then the third part is 4. So then it would be 16+6-4=18, if I'm not mistaken.
Use the Venn diagram to determine which sets each number belongs to.
a. 18
b. -17
c. -23
d. ⅜
Answers
Answer:
a. whole number, integer, rational
b. integer, rational
c. integer, rational
d. rational
Step-by-step explanation:
hope it helps
Anyone know how I can solve RL from this equation, because I have been trying and I can't get the result[tex]10=-2,5+\frac{0.02*RL+2,5}{625} (625+500)[/tex]
* this sign is to multiply
expected result is = 222.2
Answers
Answer:
steps below
Step-by-step explanation:
10 = -2.5 + ((0.02*RL + 2.5) / 625)*(625+500)
0.02*RL + 2.5 = (10+2.5)*625 / (625+500)
= 12.5*625 / 1125
=6.9444444
RL = (6.9444444 - 2.5) / 0.02
= 4.44444... / 0.02
= 222.22222 ....
After 5 years, Ben’s income has undergone several increases. Last month, Ben put $600 in savings, which was 10% of his net income. What is Ben’s new monthly net income?
Answers
Answer:
$6,000
Step-by-step explanation:
10/100 = x/600
= (600 * 100)/10
= 600 * 10
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Answers
Answer:
5.1
Step-by-step explanation:
Since any (nonzero) number to the zero power is equal to one, 10^0 = 1
5.1*1 = 5.1
Hi, what is this number in expanded form, please let me know?
Answers
Answer:
5,078.401
Step-by-step explanation:
5,000 + 70 + 8 + 0.4 + 0.001 = 5,078.401
Alex bought 5 yards of fabric to make pillows. What is the length of the fabric in inches?
1 foot = 12 inches
1 yard = 3 feet
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1 mile = 1,760 yards
Answers
Answer:
180 inches
Step-by-step explanation:
Convert 5 yards to feet. According to the information given, 1 yard = 3 feet. So now we have to multiply 5 yards by 3 feet which gives you 15 feet. Secondly, convert 15 feet to inches. It stated that 1 foot = 12 inches, so we have to do 15 feet multiplied by 12 inches to give you, 180 inches. So therefore, the length of the fabric is 180 inches.
Let A and B be two disjoint events such that P(A) = 0.47 and P(B) = 0.3.
What is P(A or B)?
Answers
Work Shown:
P(A or B) = P(A) + P(B)
P(A or B) = 0.47 + 0.30
P(A or B) = 0.77
Notes:
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P(A or B) = 0.77
Step-by-step explanation:
Which of the following equations represents an ellipse having vertices
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Answers
Answer:
(x-2)^2/40 + (y-2)^2/49 = 1
Step-by-step explanation:
what is a rapid loan?
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Answer:Rapid Loans Fast is the premier provider of cash advances, emergency and weekend loans. ... Thanks to the introduction of modern IT, the application for an online loan will take you no more than 5-10 minutes. Approval occurs automatically, after which the payday loans are instantly transferred to the borrower's bank card.
Step-by-step explanation:
Jdjsjdjdnndnxnxnxnxjxnnxnxnxnxncncncnxnxnnxnxnxncnccncnncncncncjcjdnx.
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Answer:
?
Step-by-step explanation:
Answer: so 2 +5/6 =2
Step-by-step explanation:
The reson is I’m doing this for a challenge ty
Write the equation for the function graphed below.
Answers
We can use the vertex form of the quadratic function:
f(x) = a(x - h)^2 + k
where:
Vertex = (h, k)
“a” determines whether the graph opens up or down.
* If “a” is negative, the graph opens down.
The value of “a” also makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Given these information, we can plug in the value of the vertex into the vertex form:
f(x) = a(x - h)^2 + k
f(x) = a(x - 2)^2 + 7
Next, to solve for “a”, we can use one of the points on the graph, (1, 5), and plug these values into the equation:
f(x) = a(x - 2)^2 + 7
5 = a(1 - 2)^2 + 7
5 = a(-1)^2 + 7
5 = a(1) + 7
Subtract 7 from both sides:
5 - 7 = a(1) + 7 - 7
-2 = a
Therefore, a = -2. Now, we can establish the following quadratic function in vertex form:
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Please mark my answers as the Brainliest if you find my explanation helpful :)
Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)
Count the number of ways in which four 8's can be chosen.
Answers
Answer:
24
Step-by-step explanation:
there are 4 way of choosing an ace card after choosing an ace card now we have 3 ways of choosing a king after choosing a king there are two ways of choosing a queen after choosing queen there is only one way of choosing a jack .
so the number of elements in the event is =4×3×2×1=24
we use permutation here for finding the total number of elements
Using the concept of combination, since the order of selection doesn't matter, the number of ways in which four 8's can be chosen is 1
There are 13 cards in a suit :
Number of cards numbered 8 in a suit = 1
Number of ways of choosing a specific card :
(13C1) ÷ 13 = (13 ÷ 13) = 1 way
Since there are four different suits :
The number of ways of selecting a card numbered 8 from 3 each suit will be 1.
Hence, the number of ways in which four 8's can be chosen would be :
1 × 1 × 1 × 1 = 1Therefore, there is only 1 way of choosing four 8's
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may give brainliest
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Answers
Answer:
See below
Step-by-step explanation:
The points are:
9/2 = 4.5 is in between 4 and 5-7/2 = -3.5 is in between -4 and -3See attached
Refer to the attachment
25.638= Twenty five and six hundred thirty eight how would this be written out And how to find this Question to the answer
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Answer:
25.638
Step-by-step explanation:
because I am smart
In the figure shown, help
Answers
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
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How long should an escalator be if it is to make an angle 30 with the floor and
Answers
Answer:
it should be 23 feet long
Step-by-step explanation:
which transformation would result in a geometric figure
Answers
Answer:
You reflect it, Translated and Rotate it
Step-by-step explanation:
hope this helps