To determine the percentage of farmers with sandy soil who prefer producing carrots, we need to use the relative frequency formula:
\[ \text{Relative Frequency} = \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}} \times 100% \]
From the table, we have:
- Number of farmers with sandy soil who prefer carrots = 120
- Total number of farmers with sandy soil = 170
Now, plug these numbers into the formula:
\[ \text{Relative Frequency} = \frac{120}{170} \times 100% \]
Calculating that:
\[ \text{Relative Frequency} = \frac{120}{170} \approx 0.70588 \] \[ \text{Relative Frequency} \approx 0.70588 \times 100% \approx 70.588% \]
Rounding to the nearest tenth, we get:
\[ 70.6% \]
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 70.6%.