Which Supreme Court case compels states to provide a constitutionally adequate level of medical care to inmates?

The case that compels states to provide a constitutionally adequate level of medical care to inmates is Estelle v. Gamble. This landmark Supreme Court decision established that the inadequate provision of medical care to prisoners can constitute cruel and unusual punishment, which is prohibited by the Eighth Amendment of the U.S. Constitution. The court ruled that prison officials have a duty to ensure that inmates receive necessary medical attention and that a serious medical need exists when an inmate is effectively denied access to prescribed medical treatment. This precedent is vital because it lays the foundation for the legal standard regarding the treatment of inmates and their right to health care while incarcerated.

The other choices do not address the specific issue of medical care for inmates. Spicer v. Williamson relates to different aspects of correctional policy, while Bell v. Wolfish centers on the conditions of confinement and the rights of pretrial detainees rather than medical care specifically. Logan v. Shealy involves procedural aspects of criminal law rather than directly addressing medical care in the context of prisoner's rights.