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 sandy soil prefer to grow carrots?
A. 120.0%
B. 54.5%
C. 41.7%
D. 70.6%
To find the relative frequency of farmers with sandy soil who prefer to grow carrots, we need to divide the number of farmers with sandy soil who prefer carrots (120) by the total number of farmers surveyed (420):
120/420 = 0.2857
Multiply by 100 to get the percentage:
0.2857 x 100 = 28.57%
Therefore, the answer is not one of the choices given, but the closest option is C (41.7%).