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
45.5%
45.5%
83.3%
83.3%
40.0%
40.0%
100.0%
100.0%
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To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to calculate the relative frequency of carrots grown in rocky soil.
Relative frequency of carrots in rocky soil = (Number of carrots in rocky soil) / (Total number of carrots)
= 100 / 220
= 0.4545
Convert the relative frequency to a percentage: 0.4545 x 100 = 45.45%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.
So, the answer is:
40.0%