Three different design configurations are being considered for a particular component. There are four possible failure modes for the component. An engineer obtained the following data on number of failures in each mode for each of the three configurations. Does the configuration appear to have an effect on type of failure? Failure Mode 1 2 3 4 20 44 17 9 4 18 7 12 10 31 5 1 Configuration 2 3 LAUSE SALT State the appropriate hypotheses. HP PP. H: at least one Py = Pi-Py OHP1, = 1, 2, 3; /= 1, 2, 3, 4 H₂: at least one P one pi OHIP 1, 2, 3; 1, 2, 3, 4 / H: at least one p OHg: PP, Pg .. /= 1, 2, 3; /= 1, 2, 3, 4 Py 1, 2, 3:1, 2, 3, 4 H: at least one P P P²1 Compute the test statistic value. (Round your answer to three decimal places.) What can you say about the P-value? O P-value < 0.005 O 0.005 P-value < 0.01 O 0.01 P-value < 0.025 O 0.025 Pivalue 0.05 Ⓒ 0.05< P-value < 0.10 OP-value 0.10 State the conclusion in the problem context. (Use a = 0.05.) O Reject H. There is no evidence that configuration has a significant effect on type of failure. O Fail to reject H. There is no evidence that configuration has a significant effect on type of failure. O fail to reject Ho. There is evidence that configuration has a significant effect on type of failure. O Reject H. There is evidence that configuration has a significant effect on type of failure. You may need to use the appropriate table in the Appendix of Tables to answer this question.