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 Defective Good 10 25 50 490 475 450 a. Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. 2. Ho:p1 p2 p3 Choose correct answer from above choice Il population proportions are equal Not all population proportions are equal Select your answer a:Select your answer Less than or equal to .05 Greater than.05 b. Using a.05 level of significance, e hypothesis test. Wh elue? Use Table 12.4. The p-value isSelect your answer- Conclude that the 3 suppliers provide equal proportions of defective components Conclude that the 3 suppliers do not provide equal proportions of defective components What is your conclusion? -Select your answer 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 ρ i, ρ j and difference to two decimal places. Round critical value to four decimal places. Comparison rn Critical Value Significant Diff > CV Select your answer- Select your answer- Select your answer Yes OR No? B vs C

Answer 1

Answer:

a).

2.Ho: p1=p2=p3

Ha: Not all population proportions are equal.

b).

p value is less than or equal to 0.05

conclude that the 3 supplies do not provide equal proportions of defective components.

c).

	p1	p2	difference	ni	nj	critical value	significant
A vs B	0.02	0.05	0.03	500	500	0.0284	Yes
A vs C	0.02	0.1	0.08	500	500	0.0362	Yes
B vs C	0.05	0.1	0.05	500	500	0.0406	Yes

Chi-Square Test
Observed Frequencies
	Column variable					Calculations
Row variable	C1	C2	C3	Total		fo-fe
R1	10	25	50	85		-18.3333	-3.3333	21.6667
R2	490	475	450	1415		18.3333	3.3333	-21.6667
Total	500	500	500	1500
Expected Frequencies
	Column variable
Row variable	C1	C2	C3	Total		(fo-fe)^2/fe
R1	28.3333	28.3333	28.3333	85		11.8627	0.3922	16.5686
R2	471.6667	471.6667	471.6667	1415		0.7126	0.0236	0.9953
Total	500	500	500	1500
Data
Level of Significance	0.05
Number of Rows	2
Number of Columns	3
Degrees of Freedom	2
Results
Critical Value	5.991
Chi-Square Test Statistic	30.5550
p-Value	0.0000
Reject the null hypothesis

Marascuilo Procedure
Level of Significance	0.05
Square Root of Critical Value	2.447746831
Sample Proportions
Group 1	0.02
Group 2	0.05
Group 3	0.1
MARASCUILO TABLE
Proportions	Absolute Differences	Critical Range
| Group 1 - Group 2 |	0.03	0.0284	Significant
| Group 1 - Group 3 |	0.08	0.0362	Significant
| Group 2 - Group 3 |	0.05	0.0406	Significant