In: Statistics and Probability
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 |