Answered: Benson Manufacturing is considering…

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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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	13	18	38
Good	487	482	462

(a)

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

H₀: Not all population proportions are equal.
H_a: p_A = p_B = p_CH₀: All population proportions are not equal.
H_a: p_A = p_B = p_C H₀: p_A = p_B = p_C
H_a: Not all population proportions are equal.H₀: p_A = p_B = p_C
H_a: 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.

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

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 ASupplier BSupplier Cnone

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