In a poll of 515 human resource professionals, 45.8% said that body piercings and tattoos were big personal grooming red flags.

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. Construct a 80% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags.