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 farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth.
(1 point)
Responses
70.6%
70.6%
54.5%
54.5%
120.0%
120.0%
41.7%
To calculate the percentage chance that farmers with sandy soil prefer to grow carrots, we need to find the relative frequency of carrots grown in sandy soil compared to the total number of crops grown in sandy soil.
Relative frequency = (Number of carrots grown in sandy soil) / (Total number of crops grown in sandy soil)
Relative frequency = 120 / 170
Relative frequency = 0.7059
Converting this to a percentage gives us:
0.7059 * 100% = 70.6%
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 70.6%.