A new prescription medication is designed to ease the pain of arthritis. In a clinical trial, both treatment and placebo groups were studied to determine whether there were any adverse reactions. The table below lists the number of patients in each group who experienced each adverse reaction. Assume each group represents a random sample.
a. Find a 95% confidence interval for the true proportion of people who suffered a headache in each of the groups.
b. Is there any evidence to suggest the true proportion of people who suffered a headache is different for the two groups? Justify your answer.
c. Find a 98% confidence interval for the true proportion of people who experienced a rash in each of the groups.
d. Is there any evidence to suggest the true proportion of people who experienced a rash is different for the two groups? Justify your answer.
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