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%
75.0%
75.0%
150.0%
150.0%
60.0%
To calculate the percentage chance that farmers with rocky soil prefer growing peppers, we first need to find the relative frequency for that specific category.
The total number of farmers with rocky soil is 250, and the number of farmers with rocky soil who prefer growing peppers is 150.
Relative frequency = Number of farmers with rocky soil who prefer growing peppers / Total number of farmers with rocky soil
Relative frequency = 150 / 250
Relative frequency = 0.6
To convert this to a percentage, we multiply by 100:
Percentage chance = 0.6 * 100 = 60%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60%.