Problem

A study was conducted on the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, doubleblind, placebo-controlled trial. Of the 126 subjects treated with varenicline, 18 abstained from smoking for the entire 48 -week study period. Of the 127 subjects assigned to the placebo group, 9 abstained from smoking for the entire study period. Complete parts (a) and (b). a. Find the sample percentage of subjects in each group who abstained from smoking for the entire study period. The sample percentage of subjects treated with varenicline who abstained from smoking for the entire 48 -week study period is $\square \%$. The sample percentage of subjects in the placebo group who abstained from smoking for the entire 48 -week study period is $\square \%$. (Round to two decimal places as needed.)

Solution

Step 1 :To find the sample percentage of subjects in each group who abstained from smoking for the entire study period, we need to divide the number of subjects who abstained from smoking by the total number of subjects in each group, and then multiply by 100 to convert the fraction to a percentage.

Step 2 :For the group treated with varenicline, the calculation would be \((18/126)*100\).

Step 3 :For the placebo group, the calculation would be \((9/127)*100\).

Step 4 :The sample percentage of subjects treated with varenicline who abstained from smoking for the entire 48 -week study period is approximately 14.29%.

Step 5 :The sample percentage of subjects in the placebo group who abstained from smoking for the entire 48 -week study period is approximately 7.09%.

Step 6 :Final Answer: The sample percentage of subjects treated with varenicline who abstained from smoking for the entire 48 -week study period is \(\boxed{14.29\%}\). The sample percentage of subjects in the placebo group who abstained from smoking for the entire 48 -week study period is \(\boxed{7.09\%}\).

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