Suppose you are testing the null hypothesis that a population mean is less than or equal to 46, against the alternative hypothesis that the population mean is greater than 46.If the sample size is 25, $\sigma$ is known, and α = .01, the critical value of z is _______.
A)1.645
B)-1.645
C)1.28
D)-2.33
E)2.33

Question

Quizplus · Accepted Answer

The correct critical value of z for a one-tailed test at α = .01 (where the alternative hypothesis suggests the mean is greater than a certain value) is 2.33. This value corresponds to the upper tail of the standard normal distribution, indicating the cutoff point beyond which we would reject the null hypothesis in favor of the alternative.

Suppose You Are Testing the Null Hypothesis That a Population σ\sigmaσ

Suppose You Are Testing the Null Hypothesis That a Population $\sigma$