When functioning correctly, a machine produces switches with a 0.8% defective ra

Question

When functioning correctly, a machine produces switches with a 0.8% defective rate. A batch of 4,000 switches was inspected when completed and 40 defective switches were found. (a) What is the population of interest in the study? (b) What is the sample? (c) What is the population parameter of interest? (d) Develop the null and alterative hypotheses that can be used to determine whether the machine is producing too many defective switches and therefore needs adjustment. (e) Apply the p-value approach to test the hypotheses developed in (d). (Compute the p-value and make a conclusion in the context of the problem.) Let alpha be 10%.

Explanation / Answer

a)

switches produced by the machine

b)

population of interest is the batch of 4000 switches

c)

population parameter of intersest are the defective switches

d)

Ho = Machine is producing switches with defective rate more than 0.8%

Ha = Machine is producing switches with defective rate equal or less than 0.8%

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