Use the table to answer the question.

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 "People from the North tend to like cherries more than grapes" is true or false based on relative frequencies, let's calculate the relative frequencies of preferences for cherries and grapes among respondents from the North.

Total respondents from the North = Number of cherries + Number of grapes = 120 + 125 = 245

• Relative frequency for cherries in the North: = Number of cherries from the North / Total respondents from the North = 120 / 245 ≈ 0.4898 (or 48.98%)

• Relative frequency for grapes in the North: = Number of grapes from the North / Total respondents from the North = 125 / 245 ≈ 0.5102 (or 51.02%)

Now we compare the relative frequencies:

• Cherries: 48.98%
• Grapes: 51.02%

Since the relative frequency of grapes (51.02%) is greater than that of cherries (48.98%) in the North, the statement is false.

Therefore, the answer is 2 for false.