In: Statistics and Probability
In a sample of 1617 Spanish Basques, the numbers of A, B, O, and AB blood types observed were 724, 110, 763, and 20, respectively. These blood groups are due to three alleles, I A , I B , and I O , with I A I A and I A I O having blood group A; with I B I B and I B I O having blood group B; with with I A I B having blood group AB; and with I O I O having blood group O. The best estimates of allele frequency in the Basque sample are 0.2661 for I A , and 0.0411 for I B . Calculate the expected numbers of the four blood group phenotypes and carry out a chi-square test for HWE given a significance level of 0.01. [30 marks]