Why did women have little influence on national politics in the 1920s

Because there was a lot of opposition to women's participation in political affairs.

Explanation:

Although in 1920 women gained the right to vote through the 19th Amendment, there was much opposition to women's participation in political affairs. Even though they won the right to vote, some women refused to vote in 1920, because some believed it was wrong and others feared retaliation from more traditional societies, including women who were forbidden by their husbands to vote.

Even if women's voting was approved by law, many people kept the idea that women could only get involved in domestic affairs and for that reason women were discouraged from participating in political affairs. The result was that women had little influence on national politics in the 1920s.

polling is a process and the outcome is not involved in the process itself.

the outcome, which is an unfavorable rating for a particular candidate is not affected by the mechanical process of polling.

it rather depends on the number of people voting in favor of the candidate.

this is an outcome of people's preferences.