Question: Refer to problem (9). Using the formula on page 468 in our textbook, construct the 95% confidence interval for the difference in proportions \({{p}_{1}}-{{p}_{2}}\), where \({{p}_{1}}\) is the proportion of doctors who smoke and \({{p}_{2}}\) is the proportion of nurses who smoke. Compare this confidence interval to your hypothesis test result in #9. Interpret the result, and explain why you would reject the null hypothesis if the confidence interval did not contain zero.