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 the statement is true or false, we need to calculate the relative frequencies for each fruit preference in the North region.

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

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

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

Now we can compare the relative frequencies:

- Relative frequency of Cherries: ~0.4898 (approximately 48.98%)
- Relative frequency of Grapes: ~0.5102 (approximately 51.02%)

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

Thus, the answer is:

**2** (false).