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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.
Graph
Sandy soil, carrots- 120
Sandy soil, peppers- 50
Sandy soil, total- 170
Rocky soil, carrots- 100
Rocky soil, carrots- 150
Rocky soil, carrots- 250
Totals, carrots- 220
Totals, peppers- 200
Totals, total- 420
To calculate the percentage chance that farmers with rocky soil prefer growing peppers, we need to find the relative frequency of this combination.
Relative frequency of farmers with rocky soil and grow peppers:
= (Number of farmers with rocky soil and grow peppers) / (Total number of farmers)
= 150 / 420
= 0.3571
Converting this to a percentage:
0.3571 * 100 = 35.7%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 35.7%.