Final answer:
While Native Americans face challenges like inadequate healthcare, diabetes, poverty, and alcoholism, they do not have an inability to vote in state and federal elections, as Native American citizens possess the same voting rights as other American citizens.
Step-by-step explanation:
The problems that Native Americans face include a range of serious issues, however, one of the options listed in the question is not currently a problem. While Native American communities do indeed struggle with issues such as lack of adequate health care facilities, diabetes, poverty, and alcoholism, all these are real challenges that are being faced today. These challenges are rooted in historical injustices, cultural dislocation, and long-term economic disadvantages. These cumulative issues lead to lower life expectancies and high rates of unemployment, among other adverse effects.
One of the statements, however, the Inability to vote in state and federal elections, does not hold true. Although there were historical instances where Native Americans faced barriers to voting, today, Native American citizens enjoy the same voting rights as all other American citizens. The contrast between the real issues and the historical context of voting rights indicates how progress in some areas can coexist with ongoing struggles in others.