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In: Statistics and Probability

Q4. Human blood is grouped into four types: A, B, AB & O. Type O blood...

Q4. Human blood is grouped into four types: A, B, AB & O. Type O blood can be transfused to anyone (the universal donor) while people with Type AB blood can receive any blood type (the universal recipient). A country is recruiting soldiers but unsuccessful applicants accuse there exists discrimination on their blood type—too many Type A & B applicants are rejected while too many Type O & AB applicants are accepted. Use goodness-of-fit test, test whether the number of recruited soldiers in each blood type are different from the country’s national proportion significantly at the level of significance of 5%.

Blood type PROPORTION IN THE COUNTRY THE NUMBER OF RECRUITED SOLDIERS
A 40% 210
B 12% 100
AB 5% 120
O 43% 570

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