SAT Question 9bedc4a0: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Choice B is correct. It's given that, based on the sample, an estimate of $12\%$ of all socks produced by the company in a certain week are defective, with an associated margin of error of $3.62\%$. This estimate, plus or minus the margin of error, gives an interval of plausible values for the actual percent of all socks produced by the company that week that are defective. Subtracting $3.62\%$ from $12\%$ yields $8.38\%$. Adding $3.62\%$ to $12\%$ yields $15.62\%$. Therefore, it is plausible that between $8.38\%$ and $15.62\%$ of all socks produced by the company are defective.