AndroGel Low levels of testosterone in adult males may be treated using AndroGel 1.62%. In clinical studies of 234 adult males who were being treated with AndroGel 1.62%, it was found that 26 saw their prostate-specific antigen (PSA) elevated. The PSA is a protein produced by cells of the prostate gland.

(a) Determine a 95% confidence interval for the proportion of adult males treated with AndroGel 1.62% who will experience elevated levels of PSA.

(b) Determine a 99% confidence interval for the proportion
of adult males treated with AndroGel 1.62% who will
experience elevated levels of PSA.

(c) What is the impact of increasing the level of confidence on
the margin of error?