Chapter 25, Problem 25.20CYS

To determine

To find: The percentage of current smokers in the sample

Answer to Problem 25.20CYS

The correct option is (b): 9.37%.

Explanation of Solution

Reason for correct answer:

The survey results for the two questions “Would you say your health is excellent, very good, good, fair, or poor?” and “Do you smoke cigarettes now?” are tabulated below:

	Current Smoker	Total
	Yes	No
Excellent	25	484	509
Very good	115	1,557	1,672
Good	145	1,309	1,454
Fair	90	545	635
Poor	29	11	40
Total	404	3,906	4,310

The percentage of current smokers in the sample is as follows,

$\begin{array}{c}\text{Percentage}\text{=}\frac{\text{Number of currect smokers}}{\text{Total number of subjects}}\times 100\\ =\frac{\text{404}}{\text{4,310}}\times \left(100\right)\\ =\left(0.09374\right)\times \left(100\right)\\ =9.37\end{array}$

Thus, the correct option is (b) 9.37%.

Reason for incorrect answers:

The percentage of current smokers in the sample is 9.37%. Hence the options (a) 4.91% and (c) 9.97% are incorrect.

Conclusion:

Thus, the percentage of current smokers in the sample is 9.37%.

Statistics Concept Introduction

Introduction:

Percentage:

The proportion for each category is obtained by the ratio of number of observations in the category and the total number of observations. Hence, the percentage for each category is the product of its corresponding proportion and 100.

Thus, $\text{Percentage}=\frac{\text{Number of}\text{observations in each category}}{\text{Total}\text{number}\text{of observations}}\times \left(100\right)$