Examine the data from a survey of farmers about their different soil types in 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.
To calculate the percentage chance that farmers with Rocky soil prefer growing peppers, we first need to determine the relative frequencies.
Let's assume the survey results are as follows:
- Farmers with Sandy soil: 30% prefer growing peppers
- Farmers with Loamy soil: 40% prefer growing peppers
- Farmers with Rocky soil: 25% prefer growing peppers
- Farmers with Clay soil: 15% prefer growing peppers
To calculate the relative frequencies, we need to sum the total percentages of farmers with Rocky soil who prefer growing peppers and then divide it by the total percentage of all farmers who prefer growing peppers:
Total percentage of farmers with Rocky soil who prefer growing peppers = 25%
Total percentage of all farmers who prefer growing peppers = 30% + 40% + 25% + 15% = 110%
So, the relative frequency of farmers with Rocky soil who prefer growing peppers is:
25% / 110% = 0.2273
To convert this into a percentage, we multiply by 100:
0.2273 * 100 ≈ 22.7%
Therefore, the percentage chance that farmers with Rocky soil prefer growing peppers is approximately 22.7% when rounded to the nearest tenth.