One kind of plant has only blue flowers and purple flowers. According to a genetic model, the offspring of a certain cross have a 75% chance to be purple-flowering, and a 25% chance to be blue-flowering, independently of one another. 3600 seeds of such a cross are raised, and 2736 turn out to be purple-flowering. Is the data consistent with the model? Or are there too many purple-flowerings?

1. State the null and alternative hypotheses.
2. What is the Expected Value for the number of purple-flowerings?
3. What is the SE for the number of blue-flowerings?
4. Calculate the appropriate test-statistic.
5. What is the resulting P-value?
6. State your conclusion using a 5% significance level.