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

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%

54.5%
54.5%

41.7%
41.7%

120.0%

Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we will use the formula for relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \times 100 \]

In this case, the number of farmers with sandy soil who prefer producing carrots is 120, and the total number of farmers with sandy soil is 170.

Now, we can calculate the percentage:

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

Calculating this gives:

\[ \text{Relative Frequency} = \frac{120}{170} \approx 0.70588 \]

Converting to percentage:

\[ 0.70588 \times 100 \approx 70.6% \]

Thus, the answer is:

70.6%