A clinical trial for a potential drug to treat attention deficit hyperactivity disorder (ADHD) was performed. While the drug appeared to reduce the symptoms of ADHD, there was concern over possible side effects. Researchers reported that 85 of the 374 patients who took the drug experienced side effects, compared to 65 of the 210 subjects who were given a placebo. Patients didn't know which treatment they were given.

Is there evidence of a significant difference between the treatment groups for the proportions of subjects who experience side effects?

a)Write appropriate hypotheses.

b)Calculate the test statistic, find the P-value and state your conclusion in plain English. Use = 0.05.

c)Create a 95% confidence interval for the difference in the proportions of side effects, and interpret your interval in context.

d)Did you expect 0 to be in your confidence interval? Explain briefly.