Question

In: Statistics and Probability

Use Red Cross data to determine the percentage of the population with an Rh factor that is positive (A, B, AB, or O blood types). Use that value for p.

Use Red Cross data to determine the percentage of the population with an Rh factor that is positive (A, B, AB, or O blood types). Use that value for p. How many students in your class have a positive Rh factor? Is this an unusual amount?

Solutions

Expert Solution

The Red Cross data showing the percentage distribution of population with different blood groups and different Rh factors is given below:

Blood type Percent of Population
O+ 37
O– 6
A+ 34
A– 6
B+ 10
B– 2
  4
  1
Total 100

 

Therefore the percentage of population with a positive Rh factor can be obtained as follows:

p = 37% + 34% + 10% + 4%

   = 85%

   = 0.85

 

In a class of 40 students, the details of blood group along with Rh factor for all of the students recorded as below:

Blood Group with Rh factor Blood Group with Rh factor
B- O+
O+ O+
O- B+
O+ B-
  B+
B+ O+
B+ A-
  O+
  O+
B+ B-
A+ A-
O- B-
   
  O+
A- A+
B+ B-
O+ B+
O- A+
  A-
  B+

 

From the above record, we observe that 22 students among the 40 had Rh factor positive.

Using the population percentage p = 0.85, the expected number of students with Rh factor positive can be obtained as follows:

E(X) = n ∙ p

        = 40 ∙ (0.85)

       = 34

Here the observed number 22 is much deviated from expected number 34; therefore, we can say that the class observed possesses an unusual percent of students with Rh factor positive, when compared with the population.

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