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1. Contingency tables and percentages Aa Aa Suppose a study is done to compare the effects of taking a particular vitamin supplement versus taking a placebo Over a period of six weeks, a group of 236 test subjects receives the supplement, and a group of 236 control subjects receives the placebo. At the end of the study, participants report whether they experienced any change in energy level during the trial period. Results of the study are shown in the following table Treatment Supplement Placebo Total Increase 89 91 180 Change in Energy Level Decrease 70 84 154 No Change Total 236 236 472 61 138 Of the subjects who received the supplement, reported an increase in energy level Of the subjects who received the placebo, reported an increase in energy level Of the subjects who reported no change in energy level took the placebo. took the supplement, while

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Of the subject who received the supplement, 89 reported an increase in energy level.
Of the subjects who received the placebo,91 reported an increase in energy level.
Of the subjects who reported no change, 77 took the supplement while 61 took the placebo

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