Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion e components for the suppliers, Benson has requested a sample shipment of 500 components from each supplier. The number of defective components and t Supplier Component A B Defective 10 20 40 Good 490 480 460 ulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. alact

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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 of
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
Defective
10
20
40
Good
490
480
460
a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
Ho:
- Select your answer -
H.:
- Select your answer -
b. Using a = 0.05 level of significance, conduct the hypothesis test. What is the p-value? Use Table 3 of Appendix B.
The p-value is - Select your answer
What is your conclusion?
Conclude that the three suppliers
- Select your answer - v equal proportions of defective components.
c. Conduct a multiple comparison test to determine whether there is an overall best supplier or if one supplier can be eliminated because of poor quality. Round , Pi, and absolute difference to two decimal places. Round critical value to four decimal places.
|Absolute|
Critical
Significant if
Comparison
Difference
|Diff| > CV
A vs B
Select your answer - V
A vs C
Select your answer - V
B vs C
Select your answer - V
Transcribed Image Text: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 of 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 Defective 10 20 40 Good 490 480 460 a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. Ho: - Select your answer - H.: - Select your answer - b. Using a = 0.05 level of significance, conduct the hypothesis test. What is the p-value? Use Table 3 of Appendix B. The p-value is - Select your answer What is your conclusion? Conclude that the three suppliers - Select your answer - v equal proportions of defective components. c. Conduct a multiple comparison test to determine whether there is an overall best supplier or if one supplier can be eliminated because of poor quality. Round , Pi, and absolute difference to two decimal places. Round critical value to four decimal places. |Absolute| Critical Significant if Comparison Difference |Diff| > CV A vs B Select your answer - V A vs C Select your answer - V B vs C Select your answer - V
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