From the question,
we are given
sample size = 200
number of favourable responses =110
Population = 3,000
Let the number of people = x
This implies that from the given information we have
[tex]\frac{number\text{ of favourable response}}{sample\text{ size}}=\frac{number\text{ of people}}{population}[/tex]This gives
[tex]\frac{110}{200}=\frac{x}{3000}[/tex]solving for x we have
[tex]\begin{gathered} 200x=110\times3000 \\ 200x=330000 \\ x=\frac{330000}{200} \\ x=1650 \end{gathered}[/tex]Therefore, the number of people who preferred Brand Z are 1650