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.
Graph
Sandy soil, carrots- 120
Sandy soil, peppers- 50
Sandy soil, total- 170
Rocky soil, carrots- 100
Rocky soil, carrots- 150
Rocky soil, carrots- 250
Totals, carrots- 220
Totals, peppers- 200
Totals, total- 420
A. 41.7%
B. 120.0%
C. 70.6%
D. 54.5%
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 peppers.
Relative frequency = (Number of farmers with rocky soil who prefer peppers) / (Total number of farmers)
Relative frequency of farmers with rocky soil who prefer peppers = 150 / 420 = 0.357
Converting this to a percentage: 0.357 * 100 = 35.7%
Rounded to the nearest tenth, the percentage chance that farmers with rocky soil prefer growing peppers is 35.7%, which is closest to 41.7%.
Therefore, the answer is A. 41.7%