Benson Manufacturing is considering ordering electronic

Last updated: 2/14/2024

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 500 components from each supplier The number of defective components and the number of good components found in each shipment are as follows Component Defective Good A 20 Supplier B C 25 45 480 475 455 a Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers O Ho All population proportions are not equal Ha PA PB Pc Ho PA PB Pc H Not all population proportions are equal O Ho PA PB Pc H All population proportions are not equal Ho Not all population proportions are equal Ha PA PB Pc 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 Do not reject Ho We cannot conclude that the suppliers do not provide equal proportions of defective