Benson Manutacturing 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 difter among the suppliers. To evaluate the proportic defective components for the suppliers, Benson has requested a sample shipment 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A в Defective 20 25 45 Good 480 475 455 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: PA = Ps = Pc H: Not all population proportions are equal. O Ho: Not all population proportions are equal. H: PA = Pe = Pc O Ho: All population proportions are not equal. H: PA = Pe = Pc O Ho: PA = Pe = Pc H: 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
(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.)
CV ij
Significant
Diff > CVij
Comparison
A vs. B
| ?
A vs. C
B vs. C
Can any suppliers be eliminated because of poor quality? (Select all that apply.)
O supplier A
O Supplier B
O Supplier C
O none
Transcribed Image Text:(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.) CV ij Significant Diff > CVij Comparison A vs. B | ? A vs. C B vs. C Can any suppliers be eliminated because of poor quality? (Select all that apply.) O supplier A O Supplier B O Supplier C O none
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 50o components from each supplier. The number of defective components and the number of good components found in each shipment are as follows.
Supplier
Component
A
В
Defective
20
25
45
Good
480
475
455
(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
O Ho: PA = PB = Pc
H: Not all population proportions are equal.
O Ho: Not all population proportions are equal.
Ha: PA = PB = PC
O Ho: All population proportions are not equal.
Ha: PA = PB = Pc
O Ho: PA = PB = Pc
H: 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.
Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components.
O Do not reject H.. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components.
O Reject Ho: We conclude that the suppliers do not provide equal proportions of defective components.
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 50o components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A В Defective 20 25 45 Good 480 475 455 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: PA = PB = Pc H: Not all population proportions are equal. O Ho: Not all population proportions are equal. Ha: PA = PB = PC O Ho: All population proportions are not equal. Ha: PA = PB = Pc O Ho: PA = PB = Pc H: 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. Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components. O Do not reject H.. We cannot conclude that the suppliers do not provide equal proportions of defective components. O Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components. O Reject Ho: We conclude that the suppliers do not provide equal proportions of defective components.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman