Question

use the percentage of 20-35 year olds who agree with the statement \i would buy this product\ to calculate the sales potential for a target population of 125,000 20-35 year olds.

	age in years
agree	12	17
somewhat agree	14	15
somewhat disagree	8	22
disagree	6	14

? people

Explanation:

Step1: Calculate total responses for 20-35

First, find the total number of responses from 20 - 35 year olds by adding up all the values in their column: \(12 + 14 + 8 + 6\).
\(12+14 = 26\), \(26 + 8 = 34\), \(34+6 = 40\). So total responses for 20 - 35 is \(40\).

Step2: Find percentage of agree

The number of 20 - 35 year olds who agree is \(12\). The percentage of those who agree is \(\frac{12}{40}\times100\% = 30\%\) or \(0.3\) in decimal.

Step3: Calculate sales potential

The target population is \(125,000\). Multiply the population by the percentage of those who agree: \(125000\times0.3\).
\(125000\times0.3 = 37500\).

Answer:

\(37500\)