A health organization surveyed $950$ adults about flu vaccination. The organization stated that $60\%$ of all adults received a flu shot, with a margin of error of $3.5\%$ at a $95\%$ confidence level. What inference can be made from this survey?

We are $95\%$ confident that the true proportion is between $59\%$ and $61\%$

We are $95\%$ confident that the true proportion is between $57\%$ and $63\%$

We are $95\%$ confident that the true proportion is between $55\%$ and $65\%$

We are $95\%$ confident that the true proportion of adults who received a flu shot is between $56.5\%$ and $63.5\%$