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

75.0%
75.0%

60.0%
60.0%

66.7%
66.7%

150.0%

1 answer

To find the percentage of rocky-soil farmers who prefer growing peppers, we can use the following formula for relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of farmers choosing peppers}}{\text{Total number of rocky-soil farmers}} \]

From the table provided:

  • Number of rocky-soil farmers who chose peppers = 150
  • Total number of rocky-soil farmers = 250

Now we can plug these numbers into the formula:

\[ \text{Relative Frequency} = \frac{150}{250} = 0.6 \]

To express this as a percentage, multiply by 100:

\[ 0.6 \times 100 = 60% \]

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is \( \boxed{60.0%} \).