Determining the percentage of farmers with rocky 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 if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.

(1 point)
Responses

40.0%
40.0%

45.5%
45.5%

100.0%
100.0%

83.3%

Answer 1

To determine the percentage of farmers who prefer producing carrots and have rocky soil, we need to calculate the relative frequency of farmers with rocky soil who prefer carrots.

From the data provided:

• Number of farmers with rocky soil who prefer carrots: 100
• Total number of farmers who prefer carrots: 220

Now we can calculate the relative frequency:

\[ \text{Relative frequency} = \frac{\text{Number of farmers with rocky soil who prefer carrots}}{\text{Total number of farmers who prefer carrots}} = \frac{100}{220} \]

Calculating that fraction:

\[ \frac{100}{220} \approx 0.4545 \]

To convert this to a percentage:

\[ 0.4545 \times 100 \approx 45.45% \]

Rounding to the nearest tenth gives us:

\[ 45.5% \]

Therefore, the answer is 45.5%.