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. configuration appear to have an effect on type of failure? 1 Configuration 2 3 USE SALT State the appropriate hypotheses. O Hot Py = Ho: PPrPj i=1, 2, 3; j = 1, 2, 3, 4 H: at least one PP₁ Py O Ho: Py*P₁. P. i=1, 2, 3; j = 1, 2, 3, 4 H₁: at least one p = Pr Pj Pi P. H: at least one p O Ho: Pu P Failure Mode 1 2 3 4 20 44 17 9 4 17 7 12 12 31 14 5 1, 2, 3; j = 1, 2, 3, 4 i= 1, 2, 3; j = 1, 2, 3, 4 Pr P.j H: at least one P = Compute the test statistic value. (Round your answer to three decimal places.) x² = What can you say about the P-value? OP-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 OP-value> 0.10

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