Problem 1 (30 pts). Arabidopsis thaliana (thale cress) has a locus, where all 4 nucleotides can occur. 716 plants were surveyed, and the results are shown in the table: a) Genotype Number of plants A/A 2 A/C 16 C/C 75 A/G 10 C/G 67 G/G 20 A/T 21 C/T 229 G/T 116 T/T 160 Calculate the frequencies for the four alleles (10 pts). b) A 25.5/716=0.035 C 231/716-0.32 G 116.5/716=0.32 T 343/716-0.479 Use the Chi-square test at 0.05 significance to determine if the population is in Hardy-Weinberg equilibrium. (20 pts) d.f. k-1-m; k, m d.f.= (independent alleles) For 4 alleles with frequencies p (A). q (C), w (G), z (T), the Hardy-Weinberg equilibrium equation is N(p+q+w+2)=N Derive the expected frequencies for all genotypes and fill in the table below AA CC Np2 GG TT AC AG AT CG CT GT 2Nwz Genotype Observed number of plants, Chi-squared Expected number of plants, E (0-E) E A/A 2 A/C 16 C/C 75 AG 10 C/G 67 G/G 20 AT 21 C/T 229 G/T 116 T/T 160 Total Chi-squared Degrees of freedom P-value (from the table) Conclusion: