Effectiveness of new medication in eliminating pain BACKGROUND: Consider the data from problem 2 above on self-reported pain severity under three...

4.b. Calculate the risk difference for pain eliminated under med #2 vs med #1 (Risk[med2] – Risk[med1]) and its 95% confidence interval.

4.c. Calculate the risk ratio for pain eliminated under med #2 vs med #1 (Risk[med2] / Risk[med1]) and its 95% confidence interval.

4.d. Calculate the odds ratio for pain eliminated under med #2 vs med #1 (Odds[med2] / Odds[med1]) and its 95% confidence interval.

4.e. Does the odds ratio appear to be a good estimate of the risk ratio? Why or why not?

4.f. What are the null and alternative hypotheses?

4.g. What is the value of the chi-square test of homogeneity statistic for these data? (This can be obtained either by Σ[(O-E)2 / E] or by the special formula for 2×2 tables; they are equivalent.)

4.h. What is the critical value for the chi-square test? (use α = 0.05 significance level)

4.i. Do you reject or fail to reject the null hypothesis? Why?

4.j. Provide full-sentence answers to the research questions stated above.