Question
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
41.7%
41.7%
54.5%
54.5%
70.6%
70.6%
120.0%
To calculate the percentage chance that farmers with sandy soil prefer to grow carrots, you need to divide the number of farmers with sandy soil who prefer to grow carrots by the total number of farmers with sandy soil.
Percentage chance = (Number of farmers with sandy soil who prefer to grow carrots / Total number of farmers with sandy soil) x 100
From the table, the number of farmers with sandy soil who prefer to grow carrots is 120.
So, percentage chance = (120 / 170) x 100 = 0.70588 x 100 ≈ 70.6%
Therefore, the correct answer is 70.6%.