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 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%

100.0%
100.0%

45.5%
45.5%

83.3%
83.3%
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the percentage chance that a farmer who prefers to grow carrots has rocky soil, you would calculate the relative frequency of farmers with rocky soil who prefer to grow carrots.

Relative frequency = (Number of farmers with rocky soil who prefer to grow carrots) / (Total number of farmers who prefer to grow carrots)

In this case, the number of farmers with rocky soil who prefer to grow carrots is 100, and the total number of farmers who prefer to grow carrots is 220.

Relative frequency = 100 / 220 = 0.4545

Converting this to a percentage gives: 0.4545 * 100 = 45.45%

Rounded to the nearest tenth, the percentage chance is 45.5%.

Therefore, the answer is:
45.5%