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 ofdefective components may differ among the suppliers. To evaluate the proportion of defective components for the suppliers, Benson has requested a sample shipment of500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows.ComponentSupplierA B CDefective17 22 42Good483 478 458(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.OH: Not all population proportions are equal.H₂: PA=PB = PcOH PA=P = PcH: All population proportions are not equal.OH: All population proportions are not equal.H₂: PA = PB = PcⒸHPA P₁ PcNot all population proportions are 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.)13.703✔Find the p-value. (Round your answer to four decimal places.)p-value = 0.0011✓State your conclusion.O Reject H. We cannot 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 defectivecomponents.Reject H. We conclude that the suppliers do not provide equal proportions of defective components.O Do not reject H. We conclude that the 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. Use a 0.05 level of significance.(Round your answers for the critical values to four decimal places.)ComparisonSignificantDiff CVA vs. B0.010.034XNoA vs. C0.050.0063XYes ✓B vs. C0.040.084xYesCan any suppliers be eliminated because of poor quality? (Select all that apply.)Supplier ASupplier BSupplier CX✔none

Question

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 ofdefective components may differ among the suppliers. To evaluate the proportion of defective components for the suppliers, Benson has requested a sample shipment of500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows.ComponentSupplierA B CDefective17 22 42Good483 478 458(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.OH: Not all population proportions are equal.H₂: PA=PB = PcOH PA=P = PcH: All population proportions are not equal.OH: All population proportions are not equal.H₂: PA = PB = PcⒸHPA P₁ PcNot all population proportions are 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.)13.703✔Find the p-value. (Round your answer to four decimal places.)p-value = 0.0011✓State your conclusion.O Reject H. We cannot 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 defectivecomponents.Reject H. We conclude that the suppliers do not provide equal proportions of defective components.O Do not reject H. We conclude that the 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. Use a 0.05 level of significance.(Round your answers for the critical values to four decimal places.)ComparisonSignificantDiff > CVA vs. B0.010.034XNoA vs. C0.050.0063XYes ✓B vs. C0.040.084xYesCan any suppliers be eliminated because of poor quality? (Select all that apply.)Supplier ASupplier BSupplier CX✔none

Accepted Answer

Given,
 The proportion of defective in the three categories,p=number of defectives/total number in…