Question

Use the table to answer the question. 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. (1 point) Responses 120.0% 120.0% 70.6% 70.6% 41.7% 41.7% 54.5%

Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we first need to calculate the relative frequency of farmers growing carrots among those with sandy soil.

Here's the data we have from the table:

• Number of farmers with sandy soil who prefer carrots: 120
• Total number of farmers with sandy soil: 170

The relative frequency can be calculated using the formula:

\[ \text{Relative Frequency} = \left( \frac{\text{Number of farmers preferring carrots}}{\text{Total number of farmers with sandy soil}} \right) \times 100 \]

Now, substituting the values:

\[ \text{Relative Frequency} = \left( \frac{120}{170} \right) \times 100 \]

Calculating this gives:

\[ \text{Relative Frequency} = 0.70588235 \times 100 \approx 70.588235 % \]

Rounding to the nearest tenth gives us approximately 70.6%.

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