On what date would Sonya have health insurance coverage if her policy's effective date is May 30?

The effective date of a health insurance policy marks the day on which the coverage officially begins. When a policy’s effective date is specified as May 30, it means that from that date forward, the insured individual is protected under the terms of the policy. Therefore, Sonya would begin to have health insurance coverage starting on May 30 itself.

The other options provided are not applicable because they either precede the effective date or suggest a delay in coverage that does not exist. For instance, coverage would not start before the effective date designated by the insurance company, and any date after May 30 would imply that she would not have coverage on that specified date, which contradicts the definition of an effective date.