In a hypothesis test with hypotheses Ho: μ = 80 and H1: μ < 80, a random sample of 99 elements was selected from the population, producing a mean of 75.3. Assume that σ = 24.6, and that the test is to be made at the 3% significance level.
What is the critical value of z? A) 1.88 B) 2.17 C) -1.88 D) -2.17
What is the value of the test statistic z, rounded to three decimal places?
Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks)