Here are the answers to your statements:
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States' laws about civil rights are more powerful than federal laws.
False - Federal laws generally take precedence over state laws due to the Supremacy Clause of the U.S. Constitution. -
African Americans did not receive the same civil rights as other citizens for many years after the Reconstruction Amendments were passed.
True - Despite the passage of the Reconstruction Amendments (13th, 14th, and 15th), racial discrimination and segregation (e.g., Jim Crow laws) persisted for many years. -
Persons who have been convicted of a serious crime are banned from holding office.
True - Many states have laws that prohibit individuals convicted of certain crimes, often felonies, from holding public office, though this varies by state. -
African American men were given the right to vote before women were.
True - The 15th Amendment, ratified in 1870, granted African American men the right to vote, while women did not gain the right to vote until the 19th Amendment was ratified in 1920. -
Babies born in the United States to a citizen of another country are granted US citizenship.
True - Under the principle of jus soli, anyone born on U.S. soil is typically granted U.S. citizenship, regardless of the citizenship status of their parents, with some exceptions for children of foreign diplomats.