A quality control manager inspects 50 items from a batch of 2000 widgets using simple random sampling. If the sample contains 3 defective items, what is the 95% confidence interval for the population proportion of defective widgets? (Use $z^* \approx 1.96$ and the formula $\hat{p} \pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$)