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 if a farmer prefers to grow carrots they have rocky soil?
A. 83.3%
B. 100.0%
C. 40.0%
D. 45.5%
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the following formula:
(relative frequency of preferring carrots and having rocky soil) / (relative frequency of preferring carrots)
The relative frequency of preferring carrots and having rocky soil is 150/420 = 0.3571.
The relative frequency of preferring carrots is 200/420 = 0.4762.
So the percentage chance is:
0.3571 / 0.4762 = 0.75
Multiplying by 100 to express as a percentage, we get:
75%
Therefore, the answer is not given in the options.