/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 6 Suppose that each of 935 smokers... [FREE SOLUTION] | 91影视

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Chapter 9: Problem 6

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.

Short Answer

Expert verified
The estimated percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months is approximately \(26.2\%\).

Step by step solution

01

Identify the total sample size

First, identify the total sample size that received the treatment. This is given in the problem as 935 smokers.
02

Identify the successful outcomes

Next, identify the number of smokers who successfully quit smoking (the successful outcomes) after the treatment. This is given as 245 smokers.
03

Calculate the proportion

Then, calculate the proportion of successful outcomes to the total outcomes. This can be done by dividing the number of successful outcomes by the total number of outcomes. The formula to calculate the proportion is \(\frac{number\_of\_successful\_outcomes}{total\_sample\_size}\). Substituting the given values, the calculation would be \(\frac{245}{935}\).
04

Convert to percentage

Finally, convert this fraction to a percent by multiplying by 100.

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