Testing: Hon; 2 58.8 H1\"; 7E 58.8 Your sample consists of 38 values, with a sample mean of 58.9. Suppose the population standard deviation is known to be 1.64. a) Calculate the value of the test statistic, rounded to 2 decimal places. b) At a: = 0.02, the rejection region is O z 2.05 O z > 2.33 O z > 2.05 O z 2.33 c) The decision is to 0 Accept the alternative hypotheis O Reject the null hypothesis 0 Fail to reject the null hypothesis 0 Accept the null hypothesis d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that? OTypeI OType ||