A student drilled a hole in a die, loaded it with lead weight, and then rolled the die 200 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 are respectively 27, 31, 42, 40, 28, and 32. Would you be able to conduct a goodness-of-fit test for this study? Explain which requirements are met and which are not.