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%

150.0%
150.0%

66.7%

1 answer

To find the proportion of rocky-soil farmers who choose to produce peppers, we need to calculate the relative frequency of pepper production among rocky-soil farmers.

The number of rocky-soil farmers producing peppers is 150, and the total number of rocky-soil farmers is 250.

The formula for relative frequency is:

\[ \text{Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting in the values:

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

Now, to express this as 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%.