Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
[tex]\frac{32}{108} =\frac{x}{900}[/tex]
32*900 = 28800
108*x = 108x
108x = 28800
x = [tex]266\frac{2}{3}[/tex] or [tex]\frac{800}{3}[/tex]
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
