Final answer:
The correct possessive form for 'women' in the context of ownership is 'women's,' indicating that the organization belongs to the women.
Step-by-step explanation:
The correct possessive form of 'women' in the sentence 'The womens organization focused on education for the community.' is women's. When we are making a plural noun that ends in 's' possessive, we generally add an apostrophe followed by 's.' This is the case even when the plural form of the noun does not end with an 's,' like 'women,' which is the plural form of 'woman.'
Therefore, the correct possessive form is 'women's' to indicate that the organization belongs to the women. It's not 'womens'' since this form is never correct due to the absence of a noun in English that is made plural by adding an apostrophe prior to the 's.'