The results for a blood test for a certain disease are shown.Blood Testa. Estimate the probability that the sickness occurs.b. Find the estimated (i) sensitivity P(POSIYes), (ii) specificity P(NEG|No).POSNEGTotalSickYes30535No1110 360147111140 3606Total4746a. The probability is approximately(Round to four decimal places as needed.)b. (i) The sensitivity is approximately(Round to four decimal places as needed.)(i) The specificity is approximately(Round to four decimal places as needed.)

Question
Asked Oct 7, 2019
The results for a blood test for a certain disease are shown.
Blood Test
a. Estimate the probability that the sickness occurs.
b. Find the estimated (i) sensitivity P(POSIYes), (ii) specificity P(NEG|No).
POS
NEG
Total
Sick
Yes
30
5
35
No
1110 3601
4711
1140 3606
Total
4746
a. The probability is approximately
(Round to four decimal places as needed.)
b. (i) The sensitivity is approximately
(Round to four decimal places as needed.)
(i) The specificity is approximately
(Round to four decimal places as needed.)
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The results for a blood test for a certain disease are shown. Blood Test a. Estimate the probability that the sickness occurs. b. Find the estimated (i) sensitivity P(POSIYes), (ii) specificity P(NEG|No). POS NEG Total Sick Yes 30 5 35 No 1110 3601 4711 1140 3606 Total 4746 a. The probability is approximately (Round to four decimal places as needed.) b. (i) The sensitivity is approximately (Round to four decimal places as needed.) (i) The specificity is approximately (Round to four decimal places as needed.)

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Step 1

We are given,

The results of blood test for a certain disease:

 

Blood Test
NEG
Sick
Yes
POS
Total
30
1110
35
5
No
Total
3601
4711
1140
4746
3606
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Blood Test NEG Sick Yes POS Total 30 1110 35 5 No Total 3601 4711 1140 4746 3606

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Step 2

a)We have to find the probability that the sickness occurs.

That is to find P(Sick) = ….?

Formula:
Total Yes
P(Sick)=Grand Total
35
P(Sick)4746
P(Sick) 0.0074
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Formula: Total Yes P(Sick)=Grand Total 35 P(Sick)4746 P(Sick) 0.0074

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Step 3

b)

i)We have to find Sensitivity. That is, P(POS|Yes) =…...

30
P(POS |Yes)
35
P(POS Yes) = 0.8571
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30 P(POS |Yes) 35 P(POS Yes) = 0.8571

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