For the data set below, determine whether the genotype frequencies represent a population in hardy-weinberg equilibrium.(the significant digits allow you to assume you can have an exactly representative sample of 1000 individuals. the critical value at probability 0.05 with (only) one degree of freedom is 3.84.) you will use a chi-squared test and answer the questions below.

genotype: aa aa aa

frequency: 0.312 0.335 0.353

a. let p = frequency of the "a" allele and q = the frequency of the "a" allele. within a perfectly representative sample of 1000 individuals, how many "a" alleles would there be?

b. therefore, what is the value of p?

c. after finding the actual values of p and q, what are the expected values of individuals with the genotypes aa, aa and aa?

d. what is your chi-squared value? e. is this population in hardy-weinberg equilibrium?