To find the experimental probability that the next person surveyed at the movie theater would have preferred the movie to be shorter based on the given data in the table, we can follow these steps:
1. **Analyze the Data:**
- From the table:
- Number of people who would have preferred the movie to be shorter = 36
- Total number of responses = 36 (people who wanted the movie to be shorter) + 50 (people who thought the movie was a good length) + 42 (people who wanted the movie to be longer) = 128.
2. **Calculate Experimental Probability:**
- Experimental Probability = Number of favorable outcomes / Total number of outcomes.
- In this case, the favorable outcome is that the person surveyed would have preferred the movie to be shorter, which is 36 people.
- Total outcomes are the total number of responses, which is 128 people.
3. **Calculate Probability:**
- Experimental Probability = Number of people who would have preferred the movie to be shorter / Total number of responses.
- Experimental Probability = 36 / 128 ≈ 0.28125.
Therefore, the experimental probability that the next person surveyed at the movie theater would have preferred the movie to be shorter is approximately 0.28125 or 28.125%.
