Question

A 99% confidence interval was constructed to estimate the incidence of HIV in a certain county. The investigators reported a sample incidence of 0.02 and a margin of error of 0.01. (a) The researchers explained that there was a 99% probability that the population incidence of HIV was between 1% and 3%. Is this statement correct? Explain briefly. (b) The researchers also explained that the probability that the method they used in constructing the confidence interval captured the population incidence of HIV was 99%. Is this statement correct? Explain briefly

Answer 1

Ans:

99% confidence interval is (1% to 3%)

a)No,this statement is not correct.

99% confidence interval can be interpreted as:

We are 99% confident that population proportion or incidence is between 1% and 3%.

b)Yes,this statement is correct.

it means that if construct many confidence intervals like using this method,99% of the confidence intervals will contain population incidence of HIV.