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 if a farmer prefers to grow carrots they have Rocky soil? 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. 45.5%
B. 100.0%
C. 83.3%
D. 40.0%
To find the percentage chance that if a farmer prefers to grow carrots they have Rocky soil, we need to calculate the relative frequency of farmers who prefer to grow carrots and have Rocky soil.
Relative frequency = (Number of farmers who prefer carrots and have rocky soil) / (Total number of farmers who prefer carrots)
Relative frequency = 250 / 220 = 1.1364
Next, we convert this relative frequency to a percentage by multiplying by 100.
Percentage chance = 1.1364 * 100 = 113.6%
Rounded to the nearest tenth, the percentage chance is 113.6%, which is closest to 100.0%.
Therefore, the answer is B. 100.0%.