Round all answers to 3 decimal places and assume α=0.05 unless otherwise noted.

1. The most common therapy for warts is cryotherapy, in which liquid nitrogen is applied to the area of the wart every few weeks, freezing it for a few seconds until the wart falls off. A cheaper alternative therapy is to put duct tape on the wart for a week until the wart goes away. In a randomized trial, patients with warts were randomly assigned to a cryotherapy treatment or a duct tape treatment with the following results:

Cured Not Cured for Duct tape are 12 14, and Liquid nitrogen are 21 6

a. Supposing you want to compare the success of each treatment, sketch the appropriate graph for this analysis.

b. Carry out the appropriate test to determine if there is a difference in effectiveness between the two different treatments. Include all steps for full credit.

c. Quantify the difference in success rates with the appropriate measure and interpret it in the context of the problem.