To determine how many people in attendance would prefer mustard on a hot dog, we can follow these steps:
1. Determine the sample size and the number of people preferring mustard in the sample:
- Sample Size: 150 people
- Number of people preferring mustard in the sample: 27 people
2. Calculate the proportion of people who prefer mustard in the sample:
- [tex]\( \text{Mustard Proportion} = \frac{\text{Number of people preferring mustard in the sample}}{\text{Sample Size}} \)[/tex]
- [tex]\( \text{Mustard Proportion} = \frac{27}{150} \)[/tex]
- [tex]\( \text{Mustard Proportion} = 0.18 \)[/tex]
3. Estimate the number of people who prefer mustard in the total attendance:
- Total Attendance: 5,000 people
- To find the estimate, multiply the proportion of people who prefer mustard by the total attendance.
- [tex]\( \text{Estimated Mustard Preference} = \text{Mustard Proportion} \times \text{Total Attendance} \)[/tex]
- [tex]\( \text{Estimated Mustard Preference} = 0.18 \times 5000 \)[/tex]
- [tex]\( \text{Estimated Mustard Preference} = 900 \)[/tex]
Therefore, based on the data in the sample, the number of people in attendance who would prefer mustard on a hot dog is estimated to be 900.
None of the provided answer choices (800, 2,000, 2,100, 4,000) match this calculation directly. The calculation suggests a more precise estimate would be useful.
