Test the Null Hypothesis of Independence of the Two Classifications

question 19

Essay

Test the null hypothesis of independence of the two classifications, A and B, of the 3 × 3 contingency tableshown below. Test using α = 0.10. $$\begin{array} { l l | l l l } & & & \mathrm { B } \\& & \mathrm { B } _ { 1 } & \mathrm {~B} _ { 2 } & \mathrm {~B} _ { 3 } \\\hline & \mathrm { A } _ { 1 } & 19 & 40 & 60 \\\mathrm {~A} & \mathrm {~A} _ { 2 } & 55 & 23 & 22 \\& \mathrm {~A} _ { 3 } & 31 & 42 & 47\end{array}$$

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Definitions:

Subcutaneous

Referring to something situated or applied under the skin.

Alopecia

A medical condition causing hair to fall out in small patches, which can lead to total hair loss.

Eczema

A medical condition where patches of skin become inflamed, itchy, red, cracked, and rough.

Impetigo

A highly contagious skin infection that causes red sores on the face, especially around a child's nose and mouth.