Use the table to answer the question. Figuring out what proportion of rocky-soil farmers choose to produce peppers. 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 farmers with rocky soil prefer growing peppers? Round your answer to the nearest tenth. (1 point) Responses 66.7% 66.7% 75.0% 75.0% 150.0% 150.0% 60.0%

1 answer

To find the percentage of rocky-soil farmers who prefer growing peppers, we need to calculate the relative frequency of rocky-soil farmers who choose peppers.

From the table, we can see the following data for rocky-soil farmers:

  • Rocky Soil - Peppers: 150
  • Rocky Soil - Total: 250

Now, we calculate the proportion of rocky-soil farmers who grow peppers:

\[ \text{Proportion of rocky-soil farmers growing peppers} = \frac{\text{Number of rocky-soil farmers growing peppers}}{\text{Total number of rocky-soil farmers}} = \frac{150}{250} \]

Calculating this gives:

\[ \frac{150}{250} = 0.6 \]

To convert this to a percentage, we multiply by 100:

\[ 0.6 \times 100 = 60.0% \]

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.

The correct answer is: 60.0%.