A manufacturer is considering purchasing parts 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 suppliersare 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.SupplierPart TestedABMinor Defect151321Major Defect8148Good127123121Using the data above, conduct a hypothesis test to determine if 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 with r rows and c columns results in a chi-squaretest statistic with (r - 1)(c - 1) degrees of freedom.State the null and alternative hypotheses.O Ho: The distribution of defects is the same for all suppliers.H.: The distribution of defects is not the same for all suppliers.Ho: The distribution of defects is the not the same for all suppliers.H: The distribution of defects is the same for all suppliers.O Ho: The number of good parts is not the same for all suppliers.H: The number of good parts is the same for all suppliers.Ho: The number of good parts is the same for all suppliers.H: The number of good parts is not the same for all suppliers.Find the value of the test statistic. (Round your answer to three decimal places.)What is the p-value? (Round your answer to four decimal places.)p-value =Using a 0.05 level of significance, what is your conclusion?Do not reject H.. We conclude that the population distribution of defects is not the same for all three suppliers.O Reject H. We conclude that the population distribution of defects is not the same for all three suppliers.Do not reject H,: We cannot reject the hypothesis that the population distribution of defects is the same for all three suppliers.Reject H,. We cannot reject the hypothesis that the population distribution of defects is the same for all three suppliers.O O O

First we Calculate Expected valued of the observed values. As we know, Chi-square=(Oi-Ei)2/Ei Where…

A manufacturer is considering purchasing parts 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 в Minor Defect 15 13 21 Major Defect 14 8 Good 127 123 121 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 with r rows and c columns results in a chi-square Using the data above, conduct a hypothesis test to determine if the distribution test statistic with (r - 1)(c - 1) degrees of freedom. State the null and alternative hypotheses. O Ho: The distribution of defects is the same for all suppliers. H: The distribution of defects is not the same for all suppliers. O H: The distribution of defects is the not the same for all suppliers. H: The distribution of defects is the same for all suppliers. O Ho: The number of good parts is not the same for all suppliers. H,: The number of good parts is the same for all suppliers. O Hạ: The number of good parts is the same for all suppliers. H,: The number of good parts is not the same for all suppliers. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? O Do not reject Hg. We conclude that the population distribution of defects is not the same for all three suppliers. O Reject Ho. We conclude that the population distribution of defects is not the same for all three suppliers. O Do not reject Ho. We cannot reject the hypothesis that the population distribution of defects is the same for all three suppliers. O Reject Hg. We cannot reject the hypothesis that the population distribution of defects is the same for all three suppliers.

A manufacturer is considering purchasing parts 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 в Minor Defect 15 13 21 Major Defect 14 8 Good 127 123 121 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 with r rows and c columns results in a chi-square Using the data above, conduct a hypothesis test to determine if the distribution test statistic with (r - 1)(c - 1) degrees of freedom. State the null and alternative hypotheses. O Ho: The distribution of defects is the same for all suppliers. H: The distribution of defects is not the same for all suppliers. O H: The distribution of defects is the not the same for all suppliers. H: The distribution of defects is the same for all suppliers. O Ho: The number of good parts is not the same for all suppliers. H,: The number of good parts is the same for all suppliers. O Hạ: The number of good parts is the same for all suppliers. H,: The number of good parts is not the same for all suppliers. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? O Do not reject Hg. We conclude that the population distribution of defects is not the same for all three suppliers. O Reject Ho. We conclude that the population distribution of defects is not the same for all three suppliers. O Do not reject Ho. We cannot reject the hypothesis that the population distribution of defects is the same for all three suppliers. O Reject Hg. We cannot 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

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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