A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. The following data give the numbers of defective parts produced. Loading System Manual Automatic 30 29 Machine 1 34 25 20 23 Machine 2 22 27 Use a = 0.05 to test for any significant effect due to machine, loading system, and interaction. Find the value of the test statistic for machine. (Round your answer to two decimal places.) Find the p-value for machine. (Round your answer to three decimal places.) p-value = State your conclusion about machine. Because the p-value s a = 0.05, machine is not significant. Because the p-value > a = 0.05, machine is significant. Because the p-value > a = 0.05, machine is not significant. Because the p-value s a = 0.05, machine is significant. Find the value of the test statistic for loading system. (Round your answer to two decimal places.) Find the p-value for loading system. (Round your answer to three decimal places.) p-value = State your conclusion about loading system. O Because the p-value > a = 0.05, loading system is significant. Because the p-value s a = 0.05, loading system is significant. O Because the p-value s a = 0.05, loading system is not significant. O Because the p-value > a = 0.05, loading system is not significant.Find the value of the test statistic for interaction between machine and loading system. {Round your answer to two decimal places.) : Find the p-value for interaction between machine and loading system. [Round your answer to three decimal places.) State your conclusion about interaction between machine and loading system. 0 Because the p-value :> a = 0.05, interaction between machine and loading system is signicant. O Because the p-value E a = 0.05, interaction between machine and loading system is signicant. 0 Because the p-value :> a = 0.05, interaction between machine and loading system is not signicant. 0 Because the p-value E a 0.05, interaction between machine and loading system is not signicant