Determining the percentage of farmers with sandy soil who prefer producing carrots. 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.

Question

1. 54.5%
2. 70.6%
3. 41.7%
4. 120.0%

Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we can use the given data:

• Farmers with sandy soil who prefer carrots: 120
• Farmers with sandy soil who prefer peppers: 50
• Total farmers with sandy soil: 170

Now, we can calculate the relative frequency of farmers with sandy soil who prefer carrots:

\[ \text{Relative Frequency} = \frac{\text{Farmers with Sandy Soil who prefer Carrots}}{\text{Total Farmers with Sandy Soil}} \times 100 \]

Plugging in the numbers:

\[ \text{Relative Frequency} = \frac{120}{170} \times 100 \]

Calculating that:

\[ \text{Relative Frequency} = 0.70588235 \times 100 \approx 70.6% \]

Thus, the percentage chance that farmers with sandy soil prefer to grow carrots is approximately 70.6%.

So the correct answer is: 2. 70.6%