In recent years, the use of social media platforms as a news source appears to be on the rise. In particular, more and more Americans tend to get news on the social media site Facebook. According to surveys conducted by the Pew Research Center, $44\%$ of U.S. adults got news on Facebook in $2016$ as compared to $30\%$ in $2013$. These results were based on samples of U.S. adults from the years $2016$ and $2013$ respectively.
**Which of the following is a condition associated with a two-proportion $z$-test used to determine whether the use of Facebook as a news source among U.S. adults is truly on the rise?**
[[☃ radio 1]]