To find the proportion of rocky-soil farmers who choose to produce peppers, we need to look at the total number of farmers with rocky soil and how many of them produce peppers.
From the data provided:
- Rocky Soil Farmers Growing Carrots: 100
- Rocky Soil Farmers Growing Peppers: 150
- Total Rocky Soil Farmers: 250 (100 + 150)
Next, we calculate the proportion of rocky-soil farmers that prefer to grow peppers:
\[ \text{Proportion of Rocky Soil Farmers Growing Peppers} = \frac{\text{Number of Rocky Soil Farmers Growing Peppers}}{\text{Total Rocky Soil Farmers}} = \frac{150}{250} \]
Calculating this gives:
\[ \frac{150}{250} = 0.6 \]
Now, to express this as a percentage, we multiply by 100:
\[ 0.6 \times 100 = 60.0% \]
So, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.