Educators intend to test whether the proportion of graduate students who found jobs within the last year exceeds 75%. A large sample of n = 300 graduate students was selected and it has shown X = 237 successes.

1. At the significance level, = 0.05, is there enough evidence that the population proportion p exceeds 75%?

2. Formulate your decision at the significance level of = 0.01

Show critical value and state the rejection rule in each case