Use the table to answer the question.

Question

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%

75.0%
75.0%

150.0%

Answer 1

To find the relative frequency of farmers with rocky soil who prefer growing peppers, you need to divide the number of farmers with rocky soil who grow peppers by the total number of farmers with rocky soil.

From the table:

• Number of farmers with rocky soil who grow peppers = 150
• Total number of farmers with rocky soil = 250

Now, calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of farmers with rocky soil who grow peppers}}{\text{Total number of farmers with rocky soil}} = \frac{150}{250} = 0.6 \]

Now convert this to a percentage:

\[ 0.6 \times 100 = 60% \]

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

The correct response is 60.0%.