The proportions of blood phenotypes A, B, AB, and O in the population of all Caucasians in the United States are .41, .10, .04, and .45, respectively. To determine whether or not the actual population proportions fit this set of reported probabilities, a random sample of 200 Americans was selected and their blood phenotypes were recorded. The observed cell counts are shown in the following Table. Test the goodness of fit of these blood phenotype proportions.
| Blood Type |
A |
B |
AB |
O |
| Observed Caucasian People |
89 |
18 |
12 |
81 |