Module 11 Assignment: One-Sample Proportion

Anational organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.

A.) Is the sample size large enough to justify the use of the Z formula? Show your calculation to support your answer.

B.) Test if the proportion of the prevalence of HIV has changed (H₀is equal to 7.5%). Use