In another set of Mendel’s pea experiments, he crossed a purple-flowered pea plant with a white-flowered pea plant. This resulted in plants that were all purple-flowered. He then took these purple-flowered pea plants and pollinated them with themselves. Seeds from these plants were planted and in these Mendel counted 705 purple-flowered plants and 224 white-flowered plants. He conjectured that this type of crossing should result in a 3:1 ratio with the larger number being purple-flowered. Do we have convincing evidence that the proportions of pea flower types are not distributed in this 3:1 ratio? Test as follows:

a. State the hypotheses in words or in symbols. 

b. Calculate the test statistic, and p-value. 

c. State your conclusion in the context of the research question.