In a poll of 512 human respirce professionals, 45.9% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below.

a. Among the 512 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags?

b. Construct a 99% Confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags.