Plates are evaluated according to their surface finish, and placed into four categories: premium, conforming, downgraded, and unacceptable. A quality engineer claims that the proportions of plates in...

Plates are evaluated according to their surface finish, and placed into four categories: premium, conforming, downgraded, and unacceptable. A quality engineer claims that the proportions of plates in the four categories are 10%, 70%, 15%, and 5%, respectively. In a sample of 200 plates, 19 were classified as premium, 133 were classified as conforming, 35 were classified as downgraded, and 13 were classified as unacceptable. Can you conclude that the engineer’s claim is incorrect?