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. If a person prefers cherries, what is the percentage chance that they are from the North? Round your answer to the nearest tenth.

(1 point)
%

Answer 1

To determine the percentage chance that a person who prefers cherries is from the North, we can use the following steps:

1. Identify the total number of respondents who prefer cherries.

   • Total cherries = Respondents from the North who prefer cherries + Respondents from the South who prefer cherries
   • Total cherries = 120 (North) + 25 (South) = 145

2. Identify the number of respondents from the North who prefer cherries.

   • Respondents from the North who prefer cherries = 120

3. Calculate the percentage of cherry preferers who are from the North. \[ \text{Percentage} = \left( \frac{\text{Number of North preferers}}{\text{Total preferers}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{120}{145} \right) \times 100 \approx 82.7586 \]

4. Round to the nearest tenth.

   • This rounds to approximately 82.8%.

So, the percentage chance that a person who prefers cherries is from the North is 82.8%.