Question: When Gregor Mendel conducted his famous hybridization experiments with peas, one such experiment resulted in offspring consisting of 428 peas with green pods & 152 peas with yellow pods. According to Mendel's theory, 1/4 of the offspring peas should have yellow pods. Use an, α = 0.05 level of significance to test the claim that the proportion of peas with yellow pods is equal to 1/4.

[A] Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
[B] Calculate the value of the test statistic with the information given above.
[C] State the null & alternative hypotheses in proper mathematical notation, using p.