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 if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
(1 point)
Responses
100.0%
100.0%
45.5%
45.5%
83.3%
83.3%
40.0%
40.0%
To calculate the percentage chance that a farmer who prefers to grow carrots has rocky soil, we need to look at the frequency of farmers who grow carrots in rocky soil compared to the total frequency of farmers who grow carrots.
Out of the 220 total farmers surveyed, 100 grow carrots in rocky soil.
So the relative frequency (percentage chance) that a farmer who prefers to grow carrots has rocky soil is:
(100 / 220) * 100 = 45.5%
Therefore, the percentage chance that a farmer who prefers to grow carrots has rocky soil is 45.5%.