Question: Anorexia again. In Exercise you used a confidence interval to examine the effectiveness of Prozac in treating anorexia nervosa. Suppose that instead you had conducted a hypothesis test. (Answer these questions without actually doing the test.)
a) What hypotheses would you test?
b) State a conclusion based on your confidence interval.
c) What alpha level did your test use?
d) If that conclusion is wrong, which type of error did you make?
e) What would be the consequences of such an error?
Exercise: Anorexia. The Journal of the American Medical Association reported on an experiment intended to see if the drug Prozac® could be used as a treatment for the eating disorder anorexia nervosa. The subjects, women being treated for anorexia, were randomly divided into two groups. Of the 49 who received Prozac, 35 were deemed healthy a year later, compared to 32 of the 44 who got the placebo.
a) Are the conditions for inference satisfied?
b) Find a 95% confidence interval for the difference in outcomes.
c) Use your confidence interval to explain whether you think Prozac is effective.