Determining the percentage of farmers with rocky soil who prefer producing carrots. Carrots Peppers Totals Sandy Soil 120 50 170 Rocky Soil 100 150 250 Totals 220 200 420 Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.

Question

1. 40.0%
2. 45.5%
3. 83.3%
4. 100.0%

Answer 1

To determine the percentage of farmers with rocky soil who prefer producing carrots, we can use the provided data:

• Total farmers who prefer carrots = 220
• Total farmers with rocky soil who prefer carrots = 100

Step 1: Calculate the percentage of carrot-preferring farmers who have rocky soil. \[ \text{Percentage with rocky soil} = \left( \frac{\text{Number of farmers with rocky soil who prefer carrots}}{\text{Total number of farmers who prefer carrots}} \right) \times 100 \] \[ \text{Percentage with rocky soil} = \left( \frac{100}{220} \right) \times 100 \]

Step 2: Perform the calculation. \[ \text{Percentage with rocky soil} = \left( 0.4545 \right) \times 100 \approx 45.5% \]

Thus, the correct answer is: 2. 45.5%