Relative Frequencies Quick Check

Question

5 of 55 of 5 Items

Question
Use the table to answer the question.

Determining the percentage of farmers with rocky 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 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%

83.3%
83.3%

100.0%

Answer 1

To find the percentage chance that a farmer who prefers to grow carrots has rocky soil, we will use the data provided in the table.

1. Identify the total number of farmers who prefer carrots.

   • From the table, the total number of farmers who prefer carrots is 220.

2. Identify the number of farmers who prefer carrots and have rocky soil.

   • From the table, 100 farmers with rocky soil prefer carrots.

3. Calculate the relative frequency (percentage) using the formula:

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

Substituting the numbers:

\[ \text{Percentage} = \left( \frac{100}{220} \right) \times 100 = 45.4545\ldots \approx 45.5% \]

After rounding to the nearest tenth, the answer is:

45.5%

The correct response is 45.5%.