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
83.3%
83.3%
100.0%
100.0%
45.5%
45.5%
40.0%
40.0%
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To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the relative frequency formula:
Relative frequency = (Number of farmers with carrots and rocky soil) / (Total number of farmers with carrots)
Number of farmers with carrots and rocky soil = 100 (from the table)
Total number of farmers with carrots = 220 (from the table)
Relative frequency = 100 / 220 = 0.4545
Percentage chance = 0.4545 * 100 = 45.5%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.