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...

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.

1. a) State the null and alternative hypothesis


2. b) Calculate the test Statistics


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


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