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\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 41+ age range, what percentage chose "Somewhat Agree?"

[tex]$[?] \%$[/tex]

Round to the nearest whole percent.


Sagot :

Let's solve the problem step-by-step:

1. Identify the relevant data from the table:
- The age range we are interested in is 41+.
- The number of people in the 41+ age range who chose "Somewhat Agree" is 12.

2. Calculate the total number of people in the 41+ age range:
- Add all the responses together for the 41+ age range: Agree, Somewhat Agree, Somewhat Disagree, Disagree.
- Agree: 8
- Somewhat Agree: 12
- Somewhat Disagree: 7
- Disagree: 3

[tex]\[ \text{Total number of people in the 41+ age range} = 8 + 12 + 7 + 3 = 30 \][/tex]

3. Calculate the percentage of people in the 41+ age range who chose "Somewhat Agree":
- Use the formula for percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of "Somewhat Agree"}}{\text{Total number of people}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{12}{30} \right) \times 100 \][/tex]

4. Perform the division and multiplication:
[tex]\[ \text{Percentage} = 0.4 \times 100 = 40.0\% \][/tex]

5. Round to the nearest whole percent:
[tex]\[ \text{Rounded Percentage} = 40\% \][/tex]

Therefore, the percentage of people in the 41+ age range who chose "Somewhat Agree" is [tex]\( 40\% \)[/tex].