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.
83.3%
100%
45.5%
40%
To find 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 to grow carrots and have rocky soil.
The number of farmers who prefer to grow carrots and have rocky soil is 100.
The total number of farmers who prefer to grow carrots is 220.
Therefore, the relative frequency is 100/220 ≈ 0.4545.
To convert this to a percentage, we multiply by 100.
0.4545 * 100 ≈ 45.5%.
Therefore, the percentage chance is 45.5%.
Therefore, the correct answer is 45.5%.