3. Errors in medical prescriptions occur relatively frequently. In a study, two

Question

3. Errors in medical prescriptions occur relatively frequently. In a study, two groups of doctors had similar error rates. One group switched to e-prescriptions while the other continued with hand written prescriptions. One year later, the number of errors was measured. The results are given in the two-way table. ErrorNo Error Electronic254 Written 3594 1478 2370 a. Fill in the row and column totals above. b. What proportion of all the prescriptions had errors in them? What proportion of electronic prescriptions had errors in them? What proportion of written prescriptions had errors in them? What proportion of the prescriptions with errors were written prescriptions? c. d. e.

Explanation / Answer

b)

P(Errors) = N( Errors) / N(Total)

= 1732 / 7696

= 0.2251

Proportion of errors = 22.51%

c)

P(Electronic prescription had error) = N(Electronic prescription had error) / N(Total Electronic prescription)

= 254 / 3848

= 0.0660

Proportion of electronic prescription had error = 6.60%

d)

P(Written prescription had error) = N(Written prescription had error) / N(Total written prescription)

= 1478 / 3848

= 0.3841

Proportion of written prescription had error = 38.41%

e)

Proportion of the prescriptions with error were written prescription = 1478 / 1732 * 100

= 85.33 %

Error No error Total Electronic 254 3594 3848 Written 1478 2370 3848 Total 1732 5964 7696

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