Question

In: Statistics and Probability

Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in...

Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers. To evaluate the proportion defective components for the suppliers, Benson has requested a sample shipment of 500 components from each supplier. The number of defective components and the number of good components found in each shipment is as follows.  

Supplier
Component A B C
Defective 15 25 50
Good 485 475 450

a. State the null and alternative hypothesis

b. Using alpha = .05 level of significance, conduct the hypothesis test. What is the p-value?

What is your conclusion?  
(Conclude that the three suppliers provide equal proportions of defective components.) or (Conclude that the three suppliers do not provide equal proportions of defective components.)

c. Conduct a multiple comparison test to determine if there is an overall best supplier or if one supplier can be eliminated because of poor quality. Round pi , pj and difference to two decimal places. Round critical value to four decimal places.

Comparison p i p j Difference n i n j Critical Value Significant Diff > CV
A vs B - Select your answer - Yes or No
A vs C - Select your answer - Yes or No
B vs C - Select your answer - Yes or No

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