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
45.5%
45.5%
83.3%
83.3%
40.0%
40.0%
To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to find the relative frequency of farmers who prefer carrots and have rocky soil.
From the data:
- Number of farmers who prefer to grow carrots on rocky soil = 100
- Total number of farmers who prefer to grow carrots = 220
Relative frequency = 100 / 220 = 0.4545
Finally, convert the relative frequency to a percentage:
Percentage = 0.4545 * 100 = 45.5%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.