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ame: Student ID: [6.0] An advertisement for Seldane-D, a drug prescribed for seasonal allergic rhinitis, reported results of a double-blind study in which 378 patients took Seldane-D and 196 took a placebo. Headaches were reported as a side effect by 67 of those taking Seldane-D. (a) What is the sample proportion of Seldane-D takers who reported headaches? (b) What is the standard deviation for the proportion computed in part (a)? (c) Construct a 98% confidence interval for the population proportion based on the information from parts (a) and (b). (d) Interpret the confidence interval from part (c) by writing a few sentences explaining what it means. (e) Of the 196 placebo takers, 46 reported headaches. Compute a 98% confidence interval for the true population proportion that would get headaches after taking a placebo. (f) Notice that a higher proportion of placebo takers than Seldane-D takers reported headaches. Use that information to explain why it is important to have a group taking placebos when studying the potential side effects of medications