Errors in medical prescriptions occur and a study examined whether electronic prescribing 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. The results are given in Table 6.7. Find and interpret a 95% confidence interval for the difference in proportion of errors between the two groups. Is it plausible that there is no difference?

Table 6.7

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Error No Error Total 3594 2370 Electronic Written 254 1478 3848 3848