申論題

 Questions Write your answers on the answer sheet. No need to provide details unless otherwise told. Each blank worths 5 points. 

■ In a survey of 300 visitors, 165 responded that they prefer to go to the beach and 135 responded that they prefer to stay in their hotels. Let p denote the fraction of all visitors who prefer to go to the beach and Φ (●) be the curnulative probability density function of the standard normal distribution. The approximate p-value for the test H₀ : p = 0.5 versus H₀ : p ＞ 0.5 in terms of Φ(●)__(1)__ is If the true p is 0.6 and the significance level a = 0.05, the power of this test in terms ofΦ(●)is__(2)__.