Question
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Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
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 po
Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
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 po
Answers
GPT-4o mini
To determine whether the statement "People from the North tend to like cherries more than grapes" is true or false, we need to calculate the relative frequencies of cherry and grape preferences for respondents from the North.
First, let's find the total number of respondents from the North:
- Number of respondents who prefer cherries = 120
- Number of respondents who prefer grapes = 125
Total for the North = 120 + 125 = 245
Now we can calculate the relative frequencies:
- Relative frequency for cherries in the North = Number of cherries in the North / Total in the North
- Relative frequency for grapes in the North = Number of grapes in the North / Total in the North
Calculating these:
- Relative frequency for cherries in the North = 120 / 245 = 0.4898 (approximately)
- Relative frequency for grapes in the North = 125 / 245 = 0.5102 (approximately)
Now, we compare the relative frequencies:
- Cherries: 0.4898
- Grapes: 0.5102
Since the relative frequency for grapes (0.5102) is greater than that for cherries (0.4898), it shows that people from the North do not prefer cherries over grapes.
Therefore, the statement is **false**.
You would enter **2** for false.
First, let's find the total number of respondents from the North:
- Number of respondents who prefer cherries = 120
- Number of respondents who prefer grapes = 125
Total for the North = 120 + 125 = 245
Now we can calculate the relative frequencies:
- Relative frequency for cherries in the North = Number of cherries in the North / Total in the North
- Relative frequency for grapes in the North = Number of grapes in the North / Total in the North
Calculating these:
- Relative frequency for cherries in the North = 120 / 245 = 0.4898 (approximately)
- Relative frequency for grapes in the North = 125 / 245 = 0.5102 (approximately)
Now, we compare the relative frequencies:
- Cherries: 0.4898
- Grapes: 0.5102
Since the relative frequency for grapes (0.5102) is greater than that for cherries (0.4898), it shows that people from the North do not prefer cherries over grapes.
Therefore, the statement is **false**.
You would enter **2** for false.