(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: DATA contains Part Quality data of three Manufacturers. (See DATA below: 4 columns = Manufacturer & 3 Part Quality columns = Good, Minor Defect, Major Defect). At (alpha) = 0.05, does Part Quality depend on the Manufacturer, or should the cheapest Manufacturer be chosen?

(Note: Test independence of Manufacturer and Part Quality.)

A) None of the answers fit the data.

B) P-value of 0.008 rejects the assumption of independence of Part Quality and Manufacturer. Further Manufacturer evaluation is recommended.

C) P-value of 0.039 rejects the assumption of independence of Part Quality and Manufacturer. Further Manufacturer evaluation is recommended.

D) P-value of 0.0008 rejects the assumption of independence of Part Quality and Manufacturer. Further Manufacturer evaluation is recommended.

E) The assumption of independence of Part Quality and Manufacturer cannot be rejected. Choose the cheapest Manufacturer.

DATA:

Part Quality

Manufacturer Good Minor Defect Major Defect

A 100 5 8

B 160 27 4

C 150 7 11