Question

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.

100.0%

45.5%

40.0%

83.3%

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to 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)

From the data given, we can see that 100 farmers prefer to grow carrots and 150 farmers have rocky soil.

So, the relative frequency of farmers with rocky soil who prefer to grow carrots = 150 / 100 = 1.5

Converting this to a percentage, we get 1.5 * 100 = 150%

Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 150%.