Suppose that each of 935 smokers received a nicotine patch, which delivers nicotine to the bloodstream but at a much slower rate than cigarettes do. Dosage was decreased to 0 over a 12-week period. Suppose that 245 of the subjects were still not smoking 6 months after treatment. Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.

Question

Mathematics

Catalina Glenn

8 January, 14:34

Suppose that each of 935 smokers received a nicotine patch, which delivers nicotine to the bloodstream but at a much slower rate than cigarettes do. Dosage was decreased to 0 over a 12-week period. Suppose that 245 of the subjects were still not smoking 6 months after treatment. Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.

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Andres Carson · Answer 1

26.2% of smokers, when given this treatment, would refrain from smoking for at least 6 months.

Step-by-step explanation:

In this problem, we have that:

935 smokers received the treatment (nicotine patch).

After 6 months, 245 of them were not smoking.

Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.

This percentage is 245/935 = 0.2620.

26% of smokers, when given this treatment, would refrain from smoking for at least 6 months.