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 if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
(1 point)
Responses
40.0%
40.0%
45.5%
45.5%
83.3%
83.3%
100.0%
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to look at the relative frequency of farmers growing carrots in rocky soil.
The frequency of farmers growing carrots in rocky soil is 100.
The total frequency of farmers growing carrots is 220.
Now, calculate the relative frequency:
Relative frequency = Frequency of farmers growing carrots in rocky soil / Total frequency of farmers growing carrots
Relative frequency = 100 / 220 = 0.4545
Convert this to a percentage:
Percentage = 0.4545 * 100 = 45.45%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%, rounded to the nearest tenth.
The answer is:
45.5%