6) 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 components from each supplier. The number of defective components and the number of good components found in each shipment is in the table below. The table below and also appears on the Benson worksheet in the Chp 12 Practice Problems data workbook on Moodle. Component Defective Good Total 15 485 500 Supplier B 20 480 500 C 40 460 500 Total 75 1425 1500 a) State the hypothesis to determine if the proportion of defective components depends on supplier. b) Test the hypothesis using a -0.05. c) What is the p-value for the hypothesis test. d) Conduct a multiple comparison test to determine whether there is an overall best supplier or if one supplier can be eliminated because of poor quality.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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6) 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 components from each supplier. The number of defective components and the number
of good components found in each shipment is in the table below. The table below and
also appears on the Benson worksheet in the Chp 12 Practice Problems data workbook on
Moodle.
Component
Defective
Good
Total
15
485
500
Supplier
B
20
480
500
с
40
460
500
Total
75
1425
1500
a) State the hypothesis to determine if the proportion of defective components depends
on supplier.
b) Test the hypothesis using a = 0.05.
c) What is the p-value for the hypothesis test.
d) Conduct a multiple comparison test to determine whether there is an overall best
supplier or if one supplier can be eliminated because of poor quality.
Transcribed Image Text:4 6) 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 components from each supplier. The number of defective components and the number of good components found in each shipment is in the table below. The table below and also appears on the Benson worksheet in the Chp 12 Practice Problems data workbook on Moodle. Component Defective Good Total 15 485 500 Supplier B 20 480 500 с 40 460 500 Total 75 1425 1500 a) State the hypothesis to determine if the proportion of defective components depends on supplier. b) Test the hypothesis using a = 0.05. c) What is the p-value for the hypothesis test. d) Conduct a multiple comparison test to determine whether there is an overall best supplier or if one supplier can be eliminated because of poor quality.
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