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Briefly describe the use of the formula for margin of error. Give an example in which you interpret the margin of error in terms of 95% confidence.
Briefly describe the use of the formula for margin of error. Give an example in which you interpret the margin of error in terms of 95% confidence.
A. The confidence interval is found by subtracting and adding 95% of the margin of error from the sample proportion. You can be 100% confident that the true population proportion lies within this interval.
B. The margin of error formula is used to calculate the minimum population value to 95% certainty. You can be 95% confident that the true population proportion is greater than the difference between the sample proportion and the margin of error.
C. The margin of error formula is used to calculate the maximum population value to 95% certainty. You can be 95% confident that the true population proportion is less than the sum of the sample proportion and the margin of error.
D. The 95% confidence interval is found by subtracting and adding the margin of error from the sample proportion. You can be 95% confident that the true population proportion lies within this interval.
Assume an example where the population size is 100 people, and 80% of those people attended college. You are interested in determining the portion of the population that attended college. Interpret the margin of error in terms of 95% confidence.
A. The margin of error is =0.1=10%. Therefore, you can say with 95% confidence that no more than 90% of the population attended college.
B. The margin of error is =0.1=10%. Therefore, you can say with 100% confidence that between 70.5% and 89.5% of the population attended college.
C. The margin of error is =0.1=10%. Therefore, you can say with 95% confidence that at least 70% of the population attended college.
D. The margin of error is =0.1=10%. Therefore, you can say with 95% confidence that between 70% and 90% of the population attended college.