To determine whether 750 is a reasonable estimate for the number of residents in the town whose favorite pizza is pepperoni, let's calculate the proportion of the sample who favored pepperoni pizza and then apply that to the population size.
From the survey:
- Total people surveyed = 150
- People who favor pepperoni pizza = 40
We can calculate the proportion of the sample that prefers pepperoni pizza: \[ \text{Proportion} = \frac{\text{Number who like pepperoni}}{\text{Total surveyed}} = \frac{40}{150} \approx 0.267 \text{ or } 26.7% \]
Now, let's apply this proportion to the total population of the town (2,800 residents): \[ \text{Estimated number who like pepperoni} = \text{Total population} \times \text{Proportion} = 2800 \times 0.267 \approx 748 \]
Since 748 is close to 750, we can consider it reasonable.
Now, we review the answer choices:
A: No, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
B: Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
C: No, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.
D: Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.
Correct choice: B - Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.