Celebrex, a drug manufactured by Pfizer, Inc., is used to relieve symptoms associated with osteoarthritis and rheumatoid arthritis in adults. In clinical trials of the medication, some subjects reported dizziness as a side effect. The researchers wanted to discover whether the proportion of subjects taking Celebrex who reported dizziness as a side effect differed significantly from that for other treatment groups. The following data were collected.

(a) Test whether the proportion of subjects within each treatment group who experienced dizziness are the same at the α = 0.01 level of significance.
(b) Construct a conditional distribution of side effect by treatment and draw a bar graph. Does this evidence support your conclusion in part (a)?

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Drug Side Effect Celebrex Placebo Naproxen Diclofenac Ibuprofen 83 32 Dizziness No dizziness 4063 36 1832 1330 382 337