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 were selected and their blood phenotypes were recorded. The observed and expected cell counts are shown in Table 14.2. The expected cell counts are calculated as Ei = 200pi. Test the goodness of fit of these blood phenotype proportions.
TABLE 14.2 Counts of Blood Phenotypes
 | A | B | AB | O |
Observed (Oi) | 89 | 18 | 12 | 81 |
Expected (Ei) | 82 | 20 | 8 | 90 |
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