Researchers are interested in estimating the prevalence of the HPV vaccine among young women aged 13-30. Recent national statistics have estimated the population prevalence for the vaccine since its initiation in this demographic is 23%. The research team has pooled together 67 women this age range, and determined that 24 have received the vaccine.
(A) Can we carry on our investigation assuming a normal approximation is possible in this instance? Why or why not?
(B) Create a standardized z-score for the estimate calculated by the research team.
(C) What is the probability associated with finding the proportion in this study?