SAT Question e03f3477: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Choice B is correct. It's given that based on a sample selected at random, it's estimated that $32\%$ of all adults who own televisions use their televisions to watch nature shows, with an associated margin of error of $3.41\%$. Subtracting the margin of error from the estimate and adding the margin of error to the estimate gives an interval of plausible values for the true percentage of adults who own televisions who use their televisions to watch nature shows. This means it's plausible that between $32\%-3.41\%$, or $28.59\%$, and $32\%+3.41\%$, or $35.41\%$, of all adults who own televisions use their televisions to watch nature shows. Therefore, of the given choices, the most plausible conclusion is that between $28.59\%$ and $35.41\%$ of all adults who own televisions use their televisions to watch nature shows.