The Ertl Company is well-known for its high-quality die-cast metal alloy toy replicas of tractors and other farm equipment. As part of a periodic procurement evaluation, Ertl is considering purchasing parts for a toy tractor line from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good. Supplier Part Tested A B Minor Defect 15 13 21 Major Defect 6 6 Good 130 126 118 Using the preceding data, conduct a hypothesis test to determine whether the distribution of defects is the same for the three suppliers. Use the chi-square test calculations as presented in this section with the exception that a table withr rows and c columns results in a chi-square test statistic with (r – 1)(c – 1) degrees of freedom. Find the value of the test statistic x = (to 2 decimals) Use Table 3 of Appendix B to determine the p-value. The p-value is - Select your answer - Using a 0.05 level of significance, what is your conclusion? Conclude that we are Select your answer - v to reject the hypothesis that the population distribution of defects is the same for all three suppliers

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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The Ertl Company is well-known for its high-quality die-cast metal alloy toy replicas of tractors and other farm equipment. As part of a periodic procurement evaluation, Ertl is
considering purchasing parts for a toy tractor line from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect,
or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for
the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good.
Supplier
Part Tested
A
B
Minor Defect
15
13
21
Major Defect
6
6
Good
130
126
118
Using the preceding data, conduct a hypothesis test to determine whether the distribution of defects is the same for the three suppliers. Use the chi-square test calculations as
presented in this section with the exception that a table withr rows and c columns results in a chi-square test statistic with (r – 1)(c – 1) degrees of freedom.
Find the value of the test statistic
x =
(to 2 decimals)
Use Table 3 of Appendix B to determine the p-value.
The p-value is - Select your answer -
Using a 0.05 level of significance, what is your conclusion?
Conclude that we are
Select your answer - v to reject the hypothesis that the population distribution of defects is the same for all three suppliers
Transcribed Image Text:The Ertl Company is well-known for its high-quality die-cast metal alloy toy replicas of tractors and other farm equipment. As part of a periodic procurement evaluation, Ertl is considering purchasing parts for a toy tractor line from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good. Supplier Part Tested A B Minor Defect 15 13 21 Major Defect 6 6 Good 130 126 118 Using the preceding data, conduct a hypothesis test to determine whether the distribution of defects is the same for the three suppliers. Use the chi-square test calculations as presented in this section with the exception that a table withr rows and c columns results in a chi-square test statistic with (r – 1)(c – 1) degrees of freedom. Find the value of the test statistic x = (to 2 decimals) Use Table 3 of Appendix B to determine the p-value. The p-value is - Select your answer - Using a 0.05 level of significance, what is your conclusion? Conclude that we are Select your answer - v to reject the hypothesis that the population distribution of defects is the same for all three suppliers
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