\begin{tabular}{|c|c|c|c|}
\hline & \multicolumn{3}{|c|}{Age (years)} \\
\cline{2-4} & [tex]$15-24$[/tex] & [tex]$25-40$[/tex] & [tex]$41+$[/tex] \\
\hline Agree & 12 & 25 & 8 \\
\hline \begin{tabular}{c}
Somewhat \\
Agree
\end{tabular} & 10 & 8 & 12 \\
\hline \begin{tabular}{c}
Somewhat \\
Disagree
\end{tabular} & 16 & 3 & 7 \\
\hline Disagree & 13 & 2 & 3 \\
\hline
\end{tabular}

This table shows people's responses for: "I would buy this product."

Of the people in the [tex]$25-40$[/tex] age range, what percentage chose "Somewhat Disagree?"

Round to the nearest whole percent.



Answer :

To determine the percentage of people in the 25-40 age range who chose "Somewhat Disagree" in response to the statement "I would buy this product," we need to follow these steps:

1. Calculate the total number of people in the 25-40 age range:
We sum the number of people in this age group who responded with any of the given options:
- Agree: 25
- Somewhat Agree: 8
- Somewhat Disagree: 3
- Disagree: 2

So, the total number of people in the 25-40 age range is:
[tex]\[ 25 + 8 + 3 + 2 = 38 \][/tex]

2. Identify the number of people who chose "Somewhat Disagree":
From the table, we see that 3 people in the 25-40 age range chose "Somewhat Disagree."

3. Calculate the percentage of people who chose "Somewhat Disagree":
The percentage can be found by dividing the number of people who chose "Somewhat Disagree" by the total number of people in the 25-40 age range, and then multiplying by 100 to convert the fraction to a percentage:
[tex]\[ \left( \frac{3}{38} \right) \times 100 \approx 7.89\% \][/tex]

4. Round the result to the nearest whole percent:
The percentage calculated is approximately 7.89%, which rounds to 8%.

Thus, the percentage of people in the 25-40 age range who chose "Somewhat Disagree" is [tex]\( \boxed{8\%} \)[/tex].