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 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.

	Supplier
Component	A	B	C
Defective	15	35	45
Good	485	465	455

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

1.	H 0: p 1 ≠ p 2 = p 3
2.	H 0: p 1 = p 2 = p 3
3.	H 0: p 1 ≠ p 2 ≠ p 3

Choose correct answer from above choice
- Select your answer -123Item 1

H _a: - Select your answer -All population proportions are equalNot all population proportions are equalItem 2

b. Using a .05 level of significance, conduct the hypothesis test. What is the p-value? Use Table 12.4.

The p-value is - Select your answer -less than or equal .05greater than .05Item 3

What is your conclusion?
- Select your answer -Conclude that the three suppliers provide equal proportions of defective components.Conclude that the three suppliers do not provide equal proportions of defective components.Item 4

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. Round p _i, p _j and difference to two decimal places. Round critical value to four decimal places.

Comparison	p i	p j	Difference	n i	n j	Critical Value	Significant Diff > CV
A vs B							- Select your answer -YesNoItem 11
A vs C							- Select your answer -YesNoItem 18
B vs C							- Select your answer -YesNoItem 25

Answer 1

Qven The Sampr The numbun Compounents -Lnd in each sh men 500 omponcots Suppliei Componant ABC Defeetive 1535 5 Good 48545455 ooortion 00 01 pA (ou10 35 0.085465 (n-1) x(n-) (a) x (t)

KOe Con ke te Value ame: 0.05 alue iriHl Yake - 0009 AVS hc 0 02 (a) o-o (o) V 25 x V 00349 nc and e P 0.93 (599

From te drausn a -table . Camp 18 c|ロ02 | 0.09 | 0.07 | 500 | 500 |0.0349| yes For exomele The pales -Seleetcd -tha 300' (n ical value ae 0.0349 0 0420