Question

In a random sample of 380 people that were tested for the Norcovirus, it was found that 308 did not have the virus. A 93\% confidence interval was constructed to estimate the proportion of the population that does not have the Norcovirus. This confidence interval came out to be (0.77,0.85). Select the correct intrepretation of this interval. We are 93% confident that the proportion of people in the sample that tested postitive for the Norcovirus is between 77% and 85%. We are 93% confident that the proportion of people in the sample that tested negative for the Norcovirus is between 77% and 85%. We are 93% confident that the proportion of the population that have the Norcovirus is between 77% and 85%. We are 93% confident that the proportion of the population that does not have the Norcovirus is between 77% and 85%.

Answer 1

Explanation:

The correct interpretation of the confidence interval (0.77, 0.85) in this case is:

"We are 93% confident that the proportion of the population that does not have the Norcovirus is between 77% and 85%."

The confidence interval provides an estimate of the range in which the true population proportion lies, based on the data from the sample. In this case, the interval suggests that we are 93% confident that the proportion of people in the population who do not have the Norcovirus falls within the range of 77% to 85%.