To find the percentage of farmers with sandy soil who prefer producing carrots, you can use the following formula for relative frequency:
\[ \text{Percentage} = \left( \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}} \right) \times 100 \]
From the table provided:
- Number of farmers with sandy soil who prefer carrots = 120
- Total number of farmers with sandy soil = 170
Now, substitute these values into the formula:
\[ \text{Percentage} = \left( \frac{120}{170} \right) \times 100 \]
Calculating this:
\[ \text{Percentage} = 0.70588 \times 100 \approx 70.6% \]
Thus, the percentage chance that farmers with sandy soil prefer to grow carrots is 70.6%.