Question
What is the correct margin of error for a sample size of 480? A. 0.05 B.0.004 C. 0.04 D. 0.002 Consider the inverse relationship between sample size and margin or error
Answers
GPT-4o mini
To determine the correct margin of error for a sample size of 480, we need additional context about the confidence level (such as 95% or 99%) and the variability in the data (proportion or standard deviation). However, the question suggests a consideration of the inverse relationship between sample size and margin of error.
Generally speaking, as sample size increases, the margin of error decreases. Without specific calculations, we can infer that for a larger sample size like 480, the margin of error is likely to be smaller than for smaller samples.
Given the options A (0.05), B (0.004), C (0.04), and D (0.002), a sample size of 480 would usually yield a smaller margin of error.
The smallest options (B. 0.004 and D. 0.002) suggest high levels of precision typically associated with larger sample sizes.
To select the most likely margin of error in common practice, I would choose **B. 0.004**, as it reflects the trend of having reduced margin of error with a sufficiently large sample size.
If you need a specific margin of error, you would need to specify the confidence level and the variability in the data.
Generally speaking, as sample size increases, the margin of error decreases. Without specific calculations, we can infer that for a larger sample size like 480, the margin of error is likely to be smaller than for smaller samples.
Given the options A (0.05), B (0.004), C (0.04), and D (0.002), a sample size of 480 would usually yield a smaller margin of error.
The smallest options (B. 0.004 and D. 0.002) suggest high levels of precision typically associated with larger sample sizes.
To select the most likely margin of error in common practice, I would choose **B. 0.004**, as it reflects the trend of having reduced margin of error with a sufficiently large sample size.
If you need a specific margin of error, you would need to specify the confidence level and the variability in the data.