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%

66.7%
66.7%

60.0%
60.0%

150.0%
150.0%

1 answer

To find the percentage of rocky-soil farmers who choose to produce peppers, we can use the relative frequency formula:

\[ \text{Relative frequency} = \frac{\text{Number of farmers producing peppers}}{\text{Total number of rocky soil farmers}} \]

From the table, we see the following data related to rocky soil:

  • Number of rocky-soil farmers producing peppers: 150
  • Total number of rocky soil farmers: 250

We can now calculate the relative frequency:

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

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

\[ 0.6 \times 100 = 60.0% \]

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

The correct response is: 60.0%