Are there differences in the efficacy of duct tape versus cryotherapy in the treatment of the common wart? To answer this question, 61 participants between the ages of 3 to 22 years were randomly assigned to receive either traditional cryotherapy treatment or duct tape treatment for their wart. Of those enrolled, 51 completed the study. 

a. State your hypotheses both in words and using correct symbols. 

b. Of the 25 randomly assigned to the cryotherapy treatment, 15 had their warts cured; of the 26 randomly assigned to the duct tape treatment, 22 had their warts cured. Fill in the table with these counts. 

c. Calculate the conditional proportions of warts cured for each treatment group. 

d. Use the Multiple Proportions applet to carry out a simulation-based test of significance and report the observed differences in proportions cured, the standardized statistic, and the p-value from the test. 

e. Construct a 2SD approximate 95% confidence interval for the difference in the population proportions of warts cured between the two treatments. 

f. State your conclusions in terms of strength of evidence against the null hypothesis and include statements about generalizing and cause and effect.

Transcribed Image Text:

Cured Not cured Total Cryotherapy Duct tape Total