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 farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth.
To find the percentage chance that farmers with sandy soil prefer to grow carrots, we need to calculate the relative frequency of sandy soil preferences for carrots.
The relative frequency is calculated by dividing the number of sandy soil preferences for carrots (120) by the total number of farmers with sandy soil (170).
Relative Frequency = (Number of Sandy Soil Preferences for Carrots) / (Total Number of Farmers with Sandy Soil)
= 120 / 170
= 0.7058823529411765
To convert this to a percentage, we multiply the relative frequency by 100.
Percentage Chance = Relative Frequency * 100
= 0.7058823529411765 * 100
≈ 70.6
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is approximately 70.6%.