Question

which goal would the cartoonist most likely support?
the repeal of the 15th amendment, which extended the right to vote to all african american males
the passage of the keating - owen act, which banned the sale of goods that had been made using child labor
the election of jeanette rankin, who was the first woman to serve in either the house of representatives or the senate
the ratification of the nineteenth amendment, which prohibited the government from limiting suffrage on the basis of gender

Explanation:

The cartoon likely relates to women's suffrage or progressive reforms. The ratification of the Nineteenth Amendment granted women the right to vote, a key progressive goal. The other options: repealing the 15th Amendment (opposes civil rights), Keating - Owen Act (child labor, less likely if cartoon is about women's rights), and Jeanette Rankin's election is a result of suffrage, not a goal the cartoonist would support as a primary goal. So the ratification of the Nineteenth Amendment is the most likely supported goal.

Answer:

the ratification of the Nineteenth Amendment, which prohibited the government from limiting suffrage on the basis of gender (the option text as provided in the question for this choice)