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The following sample data reflect shipments received by a large firm from three different vendors and the quality of those shipments. (You may find it useful to reference the appropriate table; chi-square table or Frable) Defective Acceptable 132 Vendor 1 2 3 16 14 25 78 233 a. Select the competing hypotheses to determine whether quality is associated with the source of the shipments Ho Quality and source of shipment (vendor) are independent. Ha Quality and source of shipment (vendor) are dependent Ha Quality and source of shipment /vendor) are dependent. Ha Quality and source of shipment /vendor) are independent. b-1. Calculate the value of the test statistic (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2. Find the p-value O 0.05 s p-value <0.10 O 0.025 s p-value <0.05 O 0.01 s p-value <0.025 O pvalue < 0.01 Op-value 20.10 b-3. At the 10% significance level, what is your conclusion? Reject He: we can conclude that quality and source of shipment (vendor) are dependent Do not reject He: we can conclude that quality and source of shipment (vendor) are dependent Reject Hg; we cannot conclude that quality and source of shipment (vendor) are dependent Do not reject He: we cannot conclude that quality and source of shipment (vendor) are dependent c. Should the firm be concerned about the source of the shipments? Yes No

 
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