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.
Responses
45.5%
45.5%
83.3%
83.3%
100.0%
100.0%
40.0%
40.0%
To find the percentage chance that a farmer who prefers to grow carrots has rocky soil, we need to calculate the relative frequency of farmers who grow carrots and have rocky soil.
Number of farmers growing carrots in rocky soil = 100
Total number of farmers growing carrots = 220
Relative frequency = 100 / 220 = 0.4545
Converting this to a percentage, we get 45.5%. So, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.