Final answer:
The inconsistent statement with the provided data is (a), as it suggests that phosphorylation activates transcription, while the data indicate that dephosphorylation by PtpE is required for ethylene-response gene transcription.
Step-by-step explanation:
The statement inconsistent with the provided data is (a) "When the transcriptional regulator is phosphorylated, it activates transcription of the ethylene-response genes." Based on the scenario, the presence of phosphatase PtpE is important for ethylene signaling, and its role is to dephosphorylate a specific serine residue (serine 121) on the transcriptional regulator. In PtpE-lacking plants, the transcriptional regulator is degraded even in the presence of ethylene, suggesting that dephosphorylation, not phosphorylation, of the transcriptional regulator, is necessary for the transcription of ethylene-response genes. Moreover, since ethylene signaling requires PtpE and the degradation of the transcriptional regulator occurs when PtpE is absent, it is implied that dephosphorylated (not phosphorylated) form of the transcriptional regulator is needed for gene expression.