Final answer:
The competency that involves core values, integrity, and accountability in HR is Ethical practice. It ensures adherence to ethical standards, fair and consistent decision-making, and support for workplace equality.
Step-by-step explanation:
The competency of an HR professional that combines core values, integrity, and accountability throughout all business practices is C) Ethical practice. This competency ensures that HR professionals adhere to the principles of fairness and consistency in their work, thus aiming to foster a workplace environment that upholds ethical standards. Ethical practice involves being transparent, acting responsibly, and making decisions that are in line with an organization's core values and professional standards. It is also about implementing and enforcing policies that promote equality and prevent discrimination such as bias in the hiring process. HR professionals with strong ethical practices contribute to creating a workplace that prioritizes safety, respect, and legal compliance, ensuring that all Human Resources Institutional & Corporate Management is maintained to the highest standards.