Alessandra conducts a survey to estimate the proportion of customers who are satisfied with the quality of the meat at a local supermarket. In a random sample of $45$ customers, $60\%$ said that they are satisfied with the supermarket's meat quality. **Assuming that all the necessary conditions are met, determine a $90\%$ confidence interval for the proportion of customers at this supermarket who are satisfied with the quality of the meat.** [[☃ radio 1]]