The probability that a rose bud blooms is p. In a random sample of 500 rose buds, 240 of them bloomed. With the data obtained in a random sample, a hypothesis test at the 1% level of significance is carried out to determine whether p is different from 0.45.

a) State the null and alternative hypothesis

b) Calculate the test Statistics

c) What is the p-value of the test?

d) Supporting your answer, state the conclusion of the test