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, has requested a sample shipment of 500 components from each supplier. The number of defective components and the number of good components four each shipment is as follows. Component Defective A 15 Supplier 485 B 20 C Good a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. Ho: All population proportions are equal 480 40 460

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 is as follows.
Comparison
A vs B
A vs C
B vs C
Pi
xx
Component
*
Defective
Pj
Good
xxx
A
a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
Ho: All population proportions are equal
15
H₁: Not all population proportions are equal
b. Using a = 0.05 level of significance, conduct the hypothesis test. What is the p-value? Use Table 3 of Appendix B.
| Absolutel
Difference
485
The p-value is less than or equal 0.05 ✓
What is your conclusion?
Conclude that the three suppliers do not provide
equal proportions of defective components.
c. 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. Round
P₁, P₁, and absolute difference to two decimal places. Round critical value to four decimal places.
X
Supplier
B
ni
20
*
480
с
40
460
nj
***
Critical
Value
XXX
No
Yes
Yes
Significant if
|Diff| > CV
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 is as follows. Comparison A vs B A vs C B vs C Pi xx Component * Defective Pj Good xxx A a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. Ho: All population proportions are equal 15 H₁: Not all population proportions are equal b. Using a = 0.05 level of significance, conduct the hypothesis test. What is the p-value? Use Table 3 of Appendix B. | Absolutel Difference 485 The p-value is less than or equal 0.05 ✓ What is your conclusion? Conclude that the three suppliers do not provide equal proportions of defective components. c. 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. Round P₁, P₁, and absolute difference to two decimal places. Round critical value to four decimal places. X Supplier B ni 20 * 480 с 40 460 nj *** Critical Value XXX No Yes Yes Significant if |Diff| > CV
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