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 Supplier

A B C

Defective 20 25 45

Good 480 475 455

1)Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.

A) H₀: All population proportions are not equal.

H_a: p_A = p_B = p_C

B) H₀: Not all population proportions are equal.

H_a: p_A = p_B = p_C

C) H₀: p_A = p_B = p_C

H_a: Not all population proportions are equal.

D) H₀: p_A = p_B = p_C

H_a: All population proportions are not equal.

2)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 =

3) State your conclusion.

A) Reject H₀. We cannot conclude that the suppliers do not provide equal proportions of defective components.

B) Do not reject H₀. We conclude that the suppliers do not provide equal proportions of defective components.

C) Do not reject H₀. We cannot conclude that the suppliers do not provide equal proportions of defective components.

D) Reject H₀. We conclude that the suppliers do not provide equal proportions of defective components.

4)
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

p_i − p_j

CV_ij
Significant
Diff > CV_ij

A vs. B

A vs. C

B vs. C

Can any suppliers be eliminated because of poor quality? (Select all that apply.)

Supplier A

Supplier B

Supplier C

none

Name: Benson Manufacturing is considering ordering electronic components fro
Uploaded: 2024-03-05T11:52:21.000Z
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Description: 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 t

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 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	Supplier
A	B	C
Defective	20	25	45
Good	480	475	455

1)Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.

A) H₀: All population proportions are not equal.

H_a: p_A = p_B = p_C

B) H₀: Not all population proportions are equal.

H_a: p_A = p_B = p_C

C) H₀: p_A = p_B = p_C

H_a: Not all population proportions are equal.

D) H₀: p_A = p_B = p_C

H_a: All population proportions are not equal.

2)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 =

3) State your conclusion.

A) Reject H₀. We cannot conclude that the suppliers do not provide equal proportions of defective components.

B) Do not reject H₀. We conclude that the suppliers do not provide equal proportions of defective components.

C) Do not reject H₀. We cannot conclude that the suppliers do not provide equal proportions of defective components.

D) Reject H₀. We conclude that the suppliers do not provide equal proportions of defective components.

4)

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

p_i − p_j

CV_ij

Significant
Diff > CV_ij

A vs. B

A vs. C

B vs. C

Can any suppliers be eliminated because of poor quality? (Select all that apply.)

Supplier A

Supplier B

Supplier C

none

Accepted Answer

Given information:
Given data represents the observed counts of Defective and Good components for…