2. Goodness of has type B, 4% has type AB, and 44% has type O. Suppose that we s

Question

2. Goodness of has type B, 4% has type AB, and 44% has type O. Suppose that we suspect that the blood type distribution of people suffering from stomach cancer is different from that of the overall population. In a random sample of 200 stomach cancer patients, 87 have type A blood, 23 have type B, ? have type AB, and 90-? have type O. All of the conditions for inference are satisfied. In the second-to-last sentence of the previous paragraph, ? is the last digit of your student ID number. For example, if your student ID number is 19406368, your sample will contain 8 patients with type AB blood and 82 patients with type O blood. Hypotheses: : The blood type distribution of stomach cancer patients is the same as that of the population.

Explanation / Answer

Ans:

H0:Distribution of blood type of stomach cancer patients is same as that of US population.

H1:Distribution of blood type of stomach cancer patients is not same as that of US population.

Test statistic;

calculated chi square=8.603

degree of freedom=4-1=3

Critical chi square(alpha=0.05,df=3)=7.81

p-value=0.0351

As,calculated chi square=8.603>critical chi square,we reject null hypothesis.

or

As,p-value=0.0351<0.05,we reject null hypothesis.

There is sufficient evidence to conclude that distribution of blood type of stomach cancer patients is not same (or different) as that of US population.

A B AB O Total Observed(O) 87 23 0 90 200 Expected(E) 84 20 8 88 200 (O-E)^2/E 0.107 0.450 8.000 0.045 8.603

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