Question: SunTech, a manufacturer of printed circuit boards, has discovered that boards classified as nonconforming always have one of three defects: a component on the board is missing, damaged, or raised (installed incorrectly). Currently the boards are produced on three machines (M1, M2, and M3). Machine M1 is 90% computer automated and produces twice as many boards per week as machines M2 and M3 which are only 50% computer automated. To determine whether there is a relationship between the type of nonconformity and the machine, a sample of 1,000 nonconforming boards were randomly selected, 400 from machine M1 and 300 each from machines M2 and M3. The following data were compiled.

Type of Nonconformity

a. Is the type of nonconformity related to the machine used for production (Is type of nonconformity and the machines are two independent random variables)? Use a significance level of 5% (manual solution)?

b. What is your best estimate for the p-value from your table and? Excel?

c. Use SPSS to verify your answer for part (a). You should submit your own SPSS printout.