Use the table to answer the 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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.
(1 point)
Responses
66.7%
66.7%
150.0%
150.0%
75.0%
75.0%
60.0%
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to calculate the relative frequency of farmers with rocky soil who prefer growing peppers.
The relative frequency is calculated by dividing the number of farmers with rocky soil who prefer growing peppers (150) by the total number of farmers (420).
Relative Frequency = 150 / 420 = 0.3571
To convert this to a percentage, we multiply by 100:
Percentage = 0.3571 * 100 = 35.71%
Rounded to the nearest tenth, the percentage chance that farmers with rocky soil prefer growing peppers is 35.7%.
Therefore, the closest answer to this calculation is 35.7%.
So, the answer is 66.7%.