In one of Gregor Mendel's famous genetic experiments during the mid-1800s, he recorded that 705 purple flowers and 224 white flowers were produced by a cross between purple and white flowered plants. The genetic model of inheritance predicts that the ratio of the dominant purple flowers to the recessive white flowers should be 3:1. Your goal is to test whether the observed data fit the genetic model.

What are the null and alternative hypotheses of your test?

Perform a hypothesis test to determine whether the observed data fit the genetic model. Include in your answer the relevant test statistic, the degrees of freedom, the P-value, and your conclusion.

What is the name of the test you performed?

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