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Is this population in hwe dont forget to do the proper

A botanist is investigating a population of plants whose petal color is controlled by a single gene whose two alleles (B & B₁) are codominant. She finds 170 plants that are homozygous brown, 340 plants that are homozygous purple and 21 plants whose petals are purple-brown. Is this population in HWE (don't forget to do the proper statistical test)? Calculate "F" (inbreeding coefficient) and explain what is happening in this population.

Genotype frequencies:

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