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QUESTION

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.

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