Q:

A study was completed in Georgia. In northern Georgia, the study involved 3,000 patients; 84% of them experienced flulike symptoms during the month of December. The study had a margin of error of 1.7%. What does that mean for the study? The confidence interval is between 80.6% and 87.4%. The confidence interval is between 83% and 85%. The confidence interval is between 49.4% and 142.8%. The confidence interval is between 82.3% and 85.7%.

Accepted Solution

A:
Answer:The confidence interval is between 82.3% and 85.7%.Step-by-step explanation:A confidence interval of the population proportion is calculated as;Sample proportion Β± Margin of ErrorThe sample proportion is a statistic that estimates the true population proportion. In our case the sample proportion is 84% since it was obtained from a random sample of 3,000 patients and not the entire population.We are also informed that the study had a margin of error of 1.7%. Therefore, the confidence interval can be constructed as;84% Β± 1.7% = ( 82.3%, 85.7%)Consequently, the confidence interval is between 82.3% and 85.7%