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% 150.0% 150.0% 60.0% 60.0% 75.0%

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 grow peppers.

  1. Identify the number of rocky-soil farmers who grow peppers: 150
  2. Identify the total number of rocky-soil farmers: 250

Now we will calculate the relative frequency:

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

Calculating that gives:

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

To convert this into a percentage:

\[ 0.6 \times 100 = 60.0% \]

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

The correct response is 60.0%.