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 sandy soil prefer to grow carrots? Round your answer to the nearest tenth.

(1 point)
Responses

70.6%
70.6%

41.7%
41.7%

54.5%
54.5%

120.0%

Answer 1

To find the percentage chance that farmers with sandy soil prefer to grow carrots, we need to use the relative frequency formula. The formula for relative frequency is:

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

In this case:

• The number of farmers with sandy soil who prefer to grow carrots is 120.
• The total number of farmers with sandy soil is 170.

Now we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{120}{170} \]

Calculating this gives:

\[ \text{Relative Frequency} \approx 0.70588235294 \]

To convert this into a percentage, multiply by 100:

\[ 0.70588235294 \times 100 \approx 70.5882352941 \]

Rounding this to the nearest tenth, we get 70.6%.

Thus, the answer is 70.6%.