Politicians should spend some time living on the streets like ____________ people have to and then they would understand better the problems they have.

The correct choice, "homeless," is appropriate in this context because it functions as an adjective describing the type of people mentioned. In this sentence, it highlights those who lack a stable home and are therefore marginalized or living on the streets.

Using "homeless" emphasizes the condition that these individuals experience, which is essential to conveying the idea that politicians need to understand the struggles faced by these members of society. By living in similar circumstances, politicians would gain insight into the challenges that homeless individuals confront daily.

The other options do not fit grammatically or contextually. "Home" refers to a place of residence, "housing" pertains to the construction or provision of homes, and "homed" is a past participle that does not align with the intended meaning in this sentence. Hence, "homeless" is the only choice that accurately describes the group of individuals relevant to the statement.