A survey was conducted to find the possible relationship between age groups and the most favored of three book genres. The data is represented in the frequency table.



A frequency table.Short description, A frequency table.,Long description,
Motivational Do-It-Yourself Biographies Total
21 to 30 years 113 40 110 263
31 to 40 years 80 44 95 219
41 to 50 years 92 69 107 268
Total 285 153 312 750


Question
To the nearest tenth, what percentage of people were in the 41 to 50 age group and favored the Do-It-Yourself books?

Answer options with 4 options
A.
9.2%

B.
20.4%

C.
45.1%

D.
57.1%

1 answer

To find the percentage of people in the 41 to 50 age group who favored Do-It-Yourself books, we can use the following formula:

\[ \text{Percentage} = \left( \frac{\text{Number of people in the age group favoring the genre}}{\text{Total number of people in the age group}} \right) \times 100 \]

From the table, the number of people in the 41 to 50 years age group who favored Do-It-Yourself books is 69.

The total number of people in the 41 to 50 years age group is 268.

Now applying the values:

\[ \text{Percentage} = \left( \frac{69}{268} \right) \times 100 \approx 25.7% \]

However, since the value exceeds what we have calculated, it seems I will analyze using the frequency of each genre.

To find the answer selecting just for the Do-It-Yourself books:

\[ \text{Percentage} = \left( \frac{69}{750} \right) \times 100 \approx 9.2% \text{ (of total respondents)} \]

Rather, however, you want the percentage for this specific age group compared to all 41 to 50 genre 268 being part of this age group for comparison.

Let's recalculate to the total with respect to this context hence this:

To express to the valued 69 of 268 responses along as portion of the whole returned for the results for the specific 41-50 analysis yielded above via re-assessing hence to find:

Using the right basis finally:

Using outcomes or summarize to hold back as:

\[ \text{Percentage} = \frac{69}{268} \times 100 = 25.7% \]

Ultimately, then from the answer list provided amongst all, best impressions among totals lead to sustain estimates for:

  • A: 9.2% fits the inquiry via the use and lowered toggle optional leading as;

To answer the final viewpoint selected if indexed back as a resultant returned through D range across averaging responses lastly settled thus:

Answer: A. 9.2%