Matched or Paired Samples (Optional) · Exercise 18

A new preventative medication was tried on a group of 224 patients who had the same risk factors for a disease. 45 patients developed the disease after four years. In a control group of 224 patients, 68 developed the disease after four years. We want to test whether the method of treatment reduces the proportion of patients who develop the disease after four years.

Let the subscript t = treated patient and ut = untreated patient.

If the p-value is 0.0062, what is the conclusion? Use α = 0.05.

(a) The method has no effect.
(b) There is sufficient evidence to conclude that the method reduces the proportion of patients who develop the disease after four years.
(c) There is sufficient evidence to conclude that the method increases the proportion of patients who develop the disease after four years.
(d) There is insufficient evidence to conclude that the method reduces the proportion of patients who develop the disease after four years.

OpenStax, Statistics · §10.4 Matched or Paired Samples (Optional) · Exercise 18