1. **State the problem:** We want to estimate how many students out of 700 on campus would prefer Movie D based on a random sample. 2. **Given data:** - Movie A: 32 students - Movie B: 20 students - Movie C: 28 students - Movie D: 45 students - Total sample size: $32 + 20 + 28 + 45 = 125$ students - Total campus population: 700 students 3. **Formula used:** We use the proportion from the sample to estimate the number in the population: $$\text{Expected number for Movie D} = \frac{\text{Number preferring Movie D in sample}}{\text{Total sample size}} \times \text{Total population}$$ 4. **Calculate the proportion:** $$\frac{45}{125} = 0.36$$ 5. **Calculate the expected number:** $$0.36 \times 700 = 252$$ 6. **Final answer:** We expect approximately **252** students on campus to prefer Movie D.