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
54.5%
54.5%
120.0%
120.0%
70.6%
70.6%
41.7%
To find the percentage chance that farmers with sandy soil prefer to grow carrots using relative frequencies, we divide the number of farmers with sandy soil who prefer to grow carrots by the total number of farmers with sandy soil, and then multiply by 100.
The number of farmers with sandy soil who prefer to grow carrots is 120.
The total number of farmers with sandy soil is 170.
To find the percentage, we can use the formula:
(120/170) * 100 = 70.6%
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 70.6% rounded 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 farmers with sandy soil who prefer to grow carrots.
Relative frequency is calculated by dividing the number of occurrences by the total number of observations.
From the table, we can see that there are 120 farmers with sandy soil who prefer to grow carrots, out of a total of 220 farmers with any soil type who prefer to grow carrots.
So, the relative frequency of farmers with sandy soil who prefer to grow carrots is 120/220 = 0.545.
To convert this to a percentage, we multiply by 100.
Percentage chance = relative frequency * 100 = 0.545 * 100 = 54.5%.
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 54.5%.
To find the percentage chance that farmers with sandy soil prefer to grow carrots using relative frequencies, we need to divide the number of farmers with sandy soil who prefer to grow carrots by the total number of farmers with sandy soil.
According to the table, 120 farmers with sandy soil prefer to grow carrots. The total number of farmers with sandy soil is 170 (as mentioned in the table under the "Totals" column for "Sandy Soil").
So, the percentage chance that farmers with sandy soil prefer to grow carrots is (120/170) * 100%.
Calculating this, we get (120/170) * 100 = 70.6%.
Therefore, the correct answer is 70.6%.