Question

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%.

Answer 1

Answer:

82.3-85.7

Step-by-step explanation:

took the test

Answer 2

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 ± Margin of Error

The 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% ± 1.7% = ( 82.3%, 85.7%)

Consequently, the confidence interval is between 82.3% and 85.7%