SAT Question 97631565: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Choice B is correct. It's given that from the sample of $20$ employees at the company, $16$ of the employees are enrolled in exactly three professional development courses this year. Since $\left(\frac{16}{20}\right)$ is equal to $0.80$, or $\frac{80}{100}$, it follows that $80\%$ of the employees in the sample are enrolled in exactly three professional development courses this year. Therefore, the best estimate for the percentage of employees at the company who are enrolled in exactly three professional development courses this year is $80\%$. It's given that there are a total of $400$ employees at the company. Therefore, the best estimate of the number of employees at the company who are enrolled in exactly three professional development courses this year is $\left(\frac{80}{100}\right)\left(400\right)$, or $320$.