Eclosion refers to the emergence of an adult insect from an egg. The following data gives eclosion rates when nymphs were exposed to heat for various durations. Duration (d) 0 1 2 3 5 10 15 Sample size 125 41 47 44 46 42 10 # Emerged: 106 38 44 40 38 35 7 Carry out a chi-squared test to decide whether it is plausible that eclosion rate does not depend on exposure duration. State the appropriate hypotheses. H0: pij ≠ pi· p·j i = 1, 2, 3; j = 1, 2, 3, 4, 5, 6, 7 Ha: at least one pij = pi· p·j H0: pij = pi· p·j i = 1, 2, 3; j = 1, 2, 3, 4, 5, 6, 7 Ha: at least one pij ≠ pi· p·j H0: pij = pi· · p·j i = 1, 2, 3; j = 1, 2, 3, 4, 5, 6, 7 Ha: at least one pij ≠ pi· · p·j H0: pij ≠ pi· · p·j i = 1, 2, 3; j = 1, 2, 3, 4, 5, 6, 7 Ha: at least one pij = pi· · p·j Compute the test statistic value. (Round your answer to three decimal places.) χ2 = What can you say about the P-value? P-value < 0.0050.005 < P-value < 0.01 0.01 < P-value < 0.0250.025 < P-value < 0.050.05 < P-value < 0.10P-value > 0.10 State the conclusion in the problem context. (Use α = 0.05.) Fail to reject H0. It is not plausible that eclosion rate does not depend on exposure duration.Reject H0. It is not plausible that eclosion rate does not depend on exposure duration. Fail to reject H0. It is plausible that eclosion rate does not depend on exposure duration.Reject H0. It is plausible that eclosion rate does not depend on exposure duration