Benson Manutacturing 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 difter among the suppliers. To evaluate the proportic defective components for the suppliers, Benson has requested a sample shipment 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A в Defective 20 25 45 Good 480 475 455 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: PA = Ps = Pc H: Not all population proportions are equal. O Ho: Not all population proportions are equal. H: PA = Pe = Pc O Ho: All population proportions are not equal. H: PA = Pe = Pc O Ho: PA = Pe = Pc H: All population proportions are not equal. (b) Using a 0.05 level of significance, conduct the hypothesis test. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
Benson Manutacturing 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 difter among the suppliers. To evaluate the proportic defective components for the suppliers, Benson has requested a sample shipment 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A в Defective 20 25 45 Good 480 475 455 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: PA = Ps = Pc H: Not all population proportions are equal. O Ho: Not all population proportions are equal. H: PA = Pe = Pc O Ho: All population proportions are not equal. H: PA = Pe = Pc O Ho: PA = Pe = Pc H: All population proportions are not equal. (b) Using a 0.05 level of significance, conduct the hypothesis test. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![(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. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.)
CV ij
Significant
Diff > CVij
Comparison
A vs. B
| ?
A vs. C
B vs. C
Can any suppliers be eliminated because of poor quality? (Select all that apply.)
O supplier A
O Supplier B
O Supplier C
O none](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1928993b-4ddc-4a8d-8bba-96280167c708%2F39dba97f-1b4d-4e6a-9a51-3b5cfe684c07%2Ffy8tezl_processed.png&w=3840&q=75)
Transcribed Image Text:(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. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.)
CV ij
Significant
Diff > CVij
Comparison
A vs. B
| ?
A vs. C
B vs. C
Can any suppliers be eliminated because of poor quality? (Select all that apply.)
O supplier A
O Supplier B
O Supplier C
O none
![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 50o components from each supplier. The number of defective components and the number of good components found in each shipment are as follows.
Supplier
Component
A
В
Defective
20
25
45
Good
480
475
455
(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
O Ho: PA = PB = Pc
H: Not all population proportions are equal.
O Ho: Not all population proportions are equal.
Ha: PA = PB = PC
O Ho: All population proportions are not equal.
Ha: PA = PB = Pc
O Ho: PA = PB = Pc
H: All population proportions are not equal.
(b) Using a 0.05 level of significance, conduct the hypothesis test.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components.
O Do not reject H.. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho: We conclude that the suppliers do not provide equal proportions of defective components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1928993b-4ddc-4a8d-8bba-96280167c708%2F39dba97f-1b4d-4e6a-9a51-3b5cfe684c07%2F3sxh2h_processed.png&w=3840&q=75)
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 50o components from each supplier. The number of defective components and the number of good components found in each shipment are as follows.
Supplier
Component
A
В
Defective
20
25
45
Good
480
475
455
(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
O Ho: PA = PB = Pc
H: Not all population proportions are equal.
O Ho: Not all population proportions are equal.
Ha: PA = PB = PC
O Ho: All population proportions are not equal.
Ha: PA = PB = Pc
O Ho: PA = PB = Pc
H: All population proportions are not equal.
(b) Using a 0.05 level of significance, conduct the hypothesis test.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components.
O Do not reject H.. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho: We conclude that the suppliers do not provide equal proportions of defective components.
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