- Determine the total count of participants who do not exercise: \(69 + 159 = 228\).
- Calculate the percentage of those who do not exercise: \(\left(\frac{228}{300}\right) \times 100\% = \boxed{76\%}\).
- Determine the total count of participants who do not smoke: \(60 + 159 = 219\).
- Calculate the percentage of those who do not smoke: \(\left(\frac{219}{300}\right) \times 100\% = \boxed{73\%}\).
Explanation
- Analyze the survey data
To determine the requested percentages, we first analyze the survey data provided. We are given the responses of \(300\) people categorized by their smoking status and exercise habits. The survey results are:
- Exercise regularly and smoke: \(12\)
- Exercise regularly and do not smoke: \(60\)
- Do not exercise regularly and smoke: \(69\)
- Do not exercise regularly and do not smoke: \(159\)
We can verify the total count by summing these values: \(12 + 60 + 69 + 159 = 300\). Our goal is to find the percentage of these individuals who do not exercise regularly and the percentage who do not smoke.
- Calculate the percentage of people who do not exercise regularly
To find the percentage of people who do not exercise regularly, we first calculate the total count of such individuals. This is the sum of the people who do not exercise regardless of their smoking status:
- People who do not exercise: \(69 \text{ (smoke)} + 159 \text{ (do not smoke)} = 228\).
Now, we calculate the percentage by dividing this sub-total by the total number of people surveyed and multiplying by \(100\%\):
- \(\text{Percentage}_{\text{no\_exercise}} = \left(\frac{228}{300}\right) \times 100\% = 0.76 \times 100\% = 76\%\).
- Calculate the percentage of people who do not smoke
To find the percentage of people who do not smoke, we first calculate the total count of people in the "Do not smoke" category. This is the sum of those who exercise and those who do not, given they do not smoke:
- People who do not smoke: \(60 \text{ (exercise)} + 159 \text{ (do not exercise)} = 219\).
Next, we calculate the percentage by dividing this sub-total by the total number of people surveyed and multiplying by \(100\%\):
- \(\text{Percentage}_{\text{no\_smoke}} = \left(\frac{219}{300}\right) \times 100\% = 0.73 \times 100\% = 73\%\).
- Final Conclusion
Based on our calculations:
- The percentage of adults who do not exercise regularly is \(76\%\).
- The percentage of adults who do not smoke is \(73\%\).
Thus, the final answers are \(\boxed{76\%}\) and \(\boxed{73\%}\) respectively.
Examples
In real-life scenarios, companies use similar surveys to understand the demographics and lifestyle habits of their customer base. For instance, a health magazine might use these statistics to tailor their content, realizing that if 76% of their surveyed audience does not exercise regularly, they might include more introductory exercise guides to reach a larger portion of their readers. Calculating percentages from raw frequency tables is a foundational skill in data analysis used to interpret trends and make informed decisions.