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A manufacturer considers his production process to be out of control when defects exceed 3%. In...

A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 185 items, the defect rate is 5.9%. The manager claims that this is due only to the sample fluctuation (random sampling variation) and that the process is not really out of control.

a. Test his claim at the 0.01 level of significance. Use both the RR and P-Value (Methods).

b. Assume that in fact the proportion of defects really is 0.009. Was an error committed? If so, what type?

Math   Statistics-And-Probability   
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