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 are as follows. Component Defective Good (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. A Ho: All population proportions are not equal. Ha: PA= PB = Pc Ho: PA = PB = Pc H₂ Supplier 15 20 Ho: PA= PB = Pc H: All population proportions are not equal. O Ho: Not all population proportions are equal. Ha: PA= PB = Pc 485 480 460 40 Not all population proportions are equal. Comparison (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.) A vs. B Find the p-value. (Round your answer to four decimal places.) p-value = A vs. C State your conclusion. Do not reject Ho. We 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 Do not 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. B vs. C (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.) none P₁-P₁ CV ij Significant Diff > CVij ? O Can any suppliers be eliminated because of poor quality? (Select all that apply.) O Supplier A O Supplier B Supplier C
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 are as follows. Component Defective Good (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. A Ho: All population proportions are not equal. Ha: PA= PB = Pc Ho: PA = PB = Pc H₂ Supplier 15 20 Ho: PA= PB = Pc H: All population proportions are not equal. O Ho: Not all population proportions are equal. Ha: PA= PB = Pc 485 480 460 40 Not all population proportions are equal. Comparison (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.) A vs. B Find the p-value. (Round your answer to four decimal places.) p-value = A vs. C State your conclusion. Do not reject Ho. We 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 Do not 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. B vs. C (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.) none P₁-P₁ CV ij Significant Diff > CVij ? O Can any suppliers be eliminated because of poor quality? (Select all that apply.) O Supplier A O Supplier B Supplier C
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 are as follows.
Component
Defective
Good
A
(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three
suppliers.
Supplier
O Ho: All population proportions are not equal.
A = PB = Pc
H₂ PA
Ho: PA = PB = Pc
H: All population proportions are not equal.
B
Ho: Not all population proportions are equal.
Ha: PA= PB = Pc
A vs. B
Ho: PA PB = Pc
H: Not all population proportions are equal.
A vs. C
с
15 20 40
(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.)
B vs. C
485 480 460
Find the p-value. (Round your answer to four decimal places.)
p-value =
none
State your conclusion.
Do not reject Ho. We 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 Do not reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components.
Reject Ho. We conclude that the suppliers do not provide equal proportions of defective components.
Need Help?
(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.)
Comparison P₁-P₁
Read It
Watch It
CV ij
Significant
Diff > CV ij
?
Can any suppliers be eliminated because of poor quality? (Select all that apply.)
O Supplier A
O Supplier B
O Supplier C
?
✪
✪
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