Question

We have reason (somehow) to believe that 34% of people have blood type A, 15% blood type B, 23% blood type AB, and 28% blood type O. We go out and collect a sample of 100 people, and find the following: A: 12 B: 56 AB: 2 O: 30

a. Present the data that was collected by this researcher in an appropriate graphical form. Be sure to label your graph appropriately and to give it an appropriate title.

b. Test this data set using the appropriate statistical test, by hand or using SPSS. (If by hand please show your work. If using SPSS please provide your annotated output). Is our result compatible with our hypothesis? Explain!

Answer 1

A)

............

B)

observed frequencey, O	expected proportion	expected frequency,E			(O-E)²/E
12	0.340	34.00			14.235
56	0.150	15.00			112.067
2	0.230	23.00			19.174
30	0.280	28.00			0.143

chi square test statistic,X² = Σ(O-E)²/E =   145.619              
                  
level of significance, α=   0.05              
Degree of freedom=k-1=   4   -   1   =   3
                  
P value =   0.0000   [ excel function: =chisq.dist.rt(test-stat,df) ]          
Decision: P value < α, Reject Ho                  
                  
                  

THANKS

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