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
60.0%
60.0%
66.7%
66.7%
150.0%
150.0%
75.0%
To find the percentage chance that farmers with rocky soil prefer growing peppers, we first need to calculate the relative frequency of farmers with rocky soil that prefer peppers:
Relative frequency = (Number of farmers with rocky soil that prefer peppers) / (Total number of farmers with rocky soil)
The number of farmers with rocky soil that prefer peppers is 150, and the total number of farmers with rocky soil is 250.
Relative frequency = 150 / 250 = 0.6
To convert this to a percentage, we multiply by 100:
0.6 * 100 = 60
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0% when rounded to the nearest tenth.
The correct answer is:
60.0%