Problem 7. Errors in medical prescriptions occur and a study examined whether electronic pre- scribing may help reduce errors. Two groups of doctors used written prescriptions and had similar error rates before the study. One group switched to e-prescriptions while the other continued to use written prescriptions, and error rates were measured one year later. Error No Error Total Electronic 254 3594 3848 Written 1478 2370 3848 (a) Find a 95% confidence interval for the difference in the proportion of errors between the two groups using the Wald confidence interval for the difference between two proportions. Do this by hand and show your work. (b) Find a 95% confidence interval for the difference in the proportion of errors between the two groups using R. Write the line of code (should be one line) as well as the output. (c) Interpret the meaning of your previous answer in part (b). Can we claim that there is a difference in the proportion of errors made