5). A sample of Child Care Workers (15 points) A large study of child care used samples from the Current Population Survey, which has three categories of child-care worker: private household, non-household and preschool teacher. The following table gives the number of African Americans in a sample of women workers. Type of Worker Total African American Household 1955 172 Non-household 1191 167 Preschool teacher 659 86 Is there a relationship between type of child care worker and being African American? Test at the 95% confidence level