Relative Frequencies Quick Check

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Question
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

60.0%
60.0%

75.0%
75.0%

66.7%
66.7%

150.0%
150.0%
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Answer 1

To determine the percentage of rocky-soil farmers who prefer to grow peppers, we will use relative frequencies.

1. Find the number of rocky-soil farmers who grow peppers: This is given as 150.

2. Find the total number of rocky-soil farmers: This is given as 250.

3. Calculate the relative frequency of rocky-soil farmers who prefer peppers: \[ \text{Relative Frequency} = \frac{\text{Number of rocky-soil farmers who grow peppers}}{\text{Total number of rocky-soil farmers}} = \frac{150}{250} \]

4. Calculate the fraction: \[ \frac{150}{250} = 0.6 \]

5. Convert the fraction to a percentage: \[ 0.6 \times 100 = 60.0% \]

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

The correct response is: 60.0%.