$7.$ It may be that in the Amazon rain forest there is a species of arrow frog that has three skin color variants. Sampling in a one kilometer by ten kilometer strip of forest gave the following counts: $268$ areen mottled frogs, $234$ grange mottling on green background frogs and $490$ yellow mottling on green background frogs. All skin color variants of frogs produce a neurotoxin that aboriginals use to coat spear or arrow or blowgun dart tips to more rapidly immobilize prey animals that have been pierced by a weapon. The green frogs are difficult to see, and so the natives usually catch the yellow or orange ones for this use. The weapon tips are drawn across the skin of the frog which is coated with secretions of the neurotoxin. The frogs captured in the scientific survey varied in the neurotoxic activity of the secretions$.$Green frog secretions ranged from $30$ to $80$ units of activity; yellow frog secretions ranged from $60$ to $110$ units of activity, and the orange frog secretions ranged from $90$ to $135$ units of activity. If incomplete dominance at one locus is responsible for skin color with green as the homozygous recessive phenotype and orange is homozygous dominant, calculate whether or not this frog population is in Hardy$-$Weinberg equilibrium for the color alleles, Two PCR bands of $640$ and $400$ bp co$-$segregated with the green and yellow skin color $95\%$ of the time, but no bands co$-$segregated with the orange color. It was therefore decided to use skin color for speed, lower cost and less chance of error $($bad PCR technique loses bands$).$Use a Chi$-$square test. $(8$ pts$)$