States by tax level ##: https://www.cbsnews.com/news/what-us-states-have-the-highest...
States by poverty rate: https://en.wikipedia.org/wiki/List_of_U.S._states_by_poverty...
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Wyoming - lowest tax rate, 3rd lowest poverty rate
Alaska - 2nd lowest tax rate, 8th lowest poverty rate
Nevada - 3rd lowest tax rate, 29th lowest poverty rate
South Dakota - 4th lowest tax rate, 23rd lowest poverty rate
Florida - 5th lowest tax rate, 37th lowest poverty rate
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New York - highest tax rate, 32nd lowest poverty rate
California - 2nd highest tax rate, 35th lowest poverty rate
Nebraska - 3rd highest tax rate, 15th lowest poverty rate
Connecticut - 4th highest tax rate, 4th lowest poverty rate
Illinois - 5th highest tax rate, 24th lowest poverty rate
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I'm not going to map out all 50 states, but at least for the top and bottom there seems to be no correlation at all. The low tax nations average to the 20th lowest poverty rate. The high tax states average out to the 22nd lowest poverty rate. To be clear, that means the high tax states suffer more poverty - at least when just considering the top 5 for each.
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## = The reason I used that article instead of Wiki's list of states by tax level ( https://en.wikipedia.org/wiki/State_tax_levels_in_the_United... ) is that the Wiki page just offers data on state tax income, not about the actual rates.