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% 60.0% 60.0% 150.0% 150.0% 75.0%

1 answer

To find the percentage of farmers with rocky soil who prefer to grow peppers, we need to calculate the proportion of rocky-soil farmers who grow peppers relative to the total number of rocky-soil farmers.

From the table:

  • Farmers with rocky soil growing peppers: 150
  • Total farmers with rocky soil: 250

Now, we calculate the proportion:

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

Calculating the fraction:

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

Now, to convert this fraction 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%.