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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.
(1 point)
Responses
60.0%
60.0%
75.0%
75.0%
150.0%
150.0%
66.7%
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to find the relative frequency of peppers among farmers with rocky soil.
The number of farmers with rocky soil who prefer growing peppers is 150.
The total number of farmers with rocky soil is 250.
To find the relative frequency, we divide the number of farmers with rocky soil who prefer growing peppers by the total number of farmers with rocky soil:
Relative frequency = Number of farmers with rocky soil who prefer growing peppers / Total number of farmers with rocky soil
= 150 / 250
= 0.6
To express this as a percentage, we multiply by 100:
Percentage chance = Relative frequency * 100
= 0.6 * 100
= 60.0%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to calculate the relative frequency of peppers among farmers with rocky soil.
The total number of farmers with rocky soil is 250, and the number of farmers with peppers in rocky soil is 150.
The relative frequency is calculated by dividing the number of farmers with peppers in rocky soil by the total number of farmers with rocky soil, and then multiplying by 100.
Relative frequency of peppers in rocky soil = (150 / 250) * 100 = 0.6 * 100 = 60%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60%.
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to find the relative frequency of peppers among farmers with rocky soil.
Relative frequency is calculated by dividing the count of a specific category (peppers) by the total count of the corresponding row (rocky soil).
From the table, we can see that the count of peppers among farmers with rocky soil is 150. The total count for the rocky soil row is 250.
To find the relative frequency, divide the count of peppers (150) by the total count of the row (250):
Relative frequency = 150 / 250 = 0.6
Now, we need to convert the relative frequency to a percentage by multiplying it by 100:
Percentage chance = 0.6 * 100 = 60%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is approximately 60%. (Round to the nearest tenth)
So, the correct answer is: 60.0%