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3. Consider the following two-way frequency table describing outcomes of antibiotics vs a placebo prescribed to treat acute bronchitis. Antibiotic Placebo Improved (1 week)

3. Consider the following two-way frequency table describing outcomes of antibiotics vs a placebo prescribed to treat acute bronchitis. Antibiotic Placebo Improved (1 week) 1259 1154 2413 Did not improve (1 week) 514 569 1083 Total 1773 1723 3496 (a) Calculate P(Did Not Improve Took Antibiotic) and P(Did Not Improve|took Placebo) (b) What, if anything, can you say about the effectiveness of treatment with antibiotics.

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