(a)  Consider the following statement: “If a test statistic has a standard normal distribution (assuming that H0 is true) and the significance level is 0.05, then the critical values in a two-sided test are -1.64 and +1.64.” Indicate whether you agree or disagree with the statement and explain your answer. 

Part (b) (2 points) Consider the following statement: “If a university claims that the mean starting salary of their graduates is $47,000 or more and you find that the mean starting salary in a sample of 45 recent graduates is $45,880, then we have proof that the university’s claim is false.” 

Indicate whether you agree or disagree with the statement and explain your answer. 

Part (c) (2 points) Consider the following statement: “The smallest possible p-value is negative infinity.”

Indicate whether you agree or disagree with the statement and explain your answer.