Question

Use the table to answer the question.

Based on respondents' locations in the North or South of the state, the table shows survey results regarding their preferred fruit (grapes or cherries).
Cherries Grapes
North 120 125
South 25 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. Using relative frequencies, is the following statement true or false?
People from the North tend to like cherries more than grapes.
Enter 1 for true. Enter 2 for false.

(1 point)

Answer 1

To determine whether people from the North tend to like cherries more than grapes, we'll calculate the relative frequencies for both fruits in the North.

1. **Total responses from the North**:
- Cherries: 120
- Grapes: 125
- Total: 120 + 125 = 245

2. **Relative frequency of cherries in the North**:
\[
\text{Relative frequency of cherries} = \frac{120}{245} \approx 0.4898
\]

3. **Relative frequency of grapes in the North**:
\[
\text{Relative frequency of grapes} = \frac{125}{245} \approx 0.5102
\]

Now we compare the relative frequencies:
- Cherries: ~48.98%
- Grapes: ~51.02%

Since the relative frequency of grapes (approximately 51.02%) is higher than that of cherries (approximately 48.98%), the statement "People from the North tend to like cherries more than grapes" is **false**.

Thus, the correct answer is:

**2**