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Use the table to answer the question.

Figuring out what proportion of rocky-soil farmers choose to produce peppers.
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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.

(1 point)
Responses

75.0%
75.0%

66.7%
66.7%

60.0%
60.0%

150.0%

1 answer

To find the percentage of farmers with rocky soil who prefer growing peppers, we can use the following steps:

  1. Identify the number of rocky-soil farmers who chose peppers: From the table, this number is 150.

  2. Identify the total number of rocky-soil farmers: From the table, this total is 250.

  3. Calculate the relative frequency (percentage): We will use the formula:

    \[ \text{Relative Frequency} = \left(\frac{\text{Number of farmers choosing peppers}}{\text{Total number of rocky-soil farmers}}\right) \times 100 \]

    Plugging in the numbers:

    \[ \text{Relative Frequency} = \left(\frac{150}{250}\right) \times 100 \]

    This simplifies to:

    \[ \text{Relative Frequency} = 0.6 \times 100 = 60.0% \]

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.

So the correct response is:

60.0%