Figuring out what proportion of rocky-soil farmers choose to produce peppers. 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.

Question

1. 60.0%
2. 75.0%
3. 66.7%
4. 150.0%

Answer 1

To find the proportion of rocky-soil farmers who choose to produce peppers, we can use the data provided in the table.

From the data:

• Total rocky soil farmers = 250
• Rocky soil farmers who produce peppers = 150

Now, we can calculate the relative frequency (proportion) of rocky soil farmers who produce peppers:

\[ \text{Relative frequency} = \frac{\text{Number of rocky soil farmers growing peppers}}{\text{Total number of rocky soil farmers}} = \frac{150}{250} \]

Calculating this gives:

\[ \frac{150}{250} = 0.6 \]

To convert this to a percentage, we multiply by 100:

\[ 0.6 \times 100 = 60.0% \]

Thus, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.

So the correct answer is:

1. 60.0%