To estimate how many of the 414 students would favor Hockey, we can use proportion. We know that 10 out of 45 students favor Hockey, so we can set up a proportion:
10/45 = x/414
where x is the estimated number of students who favor Hockey out of the total 414 students.
To solve for x, we can cross-multiply:
10 * 414 = 45 * x
4,140 = 45x
x ≈ 92
Therefore, we can estimate that around 92 out of the 414 students would favor Hockey.