What larger effect did the nullification crisis have on shaping both the presidency and the future of states' rights? "

The Nullification Crisis repealed the Tariff of Abominations of 1828, which imposed a tariff on imported goods, indirectly damaging the economy of the South, which depended largely on imports, since its production was almost exclusively raw materials, and many of the goods that it needed to consume were not produced in the North of the United States but in Europe.

Explanation:

The Nullification Crisis was a constitutional conflict in the United States, in 1832 and 1833 between President Andrew Jackson and the State of South Carolina.

In the debate on the rights of the states and the unions, then Vice President  John C. Calhoun, who was born in South Carolina, had argued that each state had irrevocable sovereignty as it voluntarily joined the Union. As the holder of sovereignty, each individual state had the right to judge whether a law given by the Congress was in conformity with the Constitution of 1789, and if it found that this was not the case, the state could, for its part, put the law out of force, "nullify" it.

South Carolina put these ideas in practice when, on November 24, 1832, the state declared the Tariff of Abomination unconstitutional, and threatened with immediate exit from the Union. Jackson then threatened to use military force, but the mood was not for extreme measures. Congress made significant reductions to the tariff when passing the 1832 Tariff, after which South Carolina repealed the so-called nullification ordinance.

The Nullification Crisis is considered to have greatly contributed to the perception in the South that through a definite behavior towards the North states it could enforce their wishes. Thus, it enforced the increasing rivalry between both regions of the United States.

the answer would be logic.