Question

A pair of hypothesis statements must be mutually exclusive and exhaustive." This statement refers to the principles of hypothesis testing.

What is measured by the numerator of the Z test statistic?
A. The average distance between M (sample mean) and μ (population mean) that would be expected if H0 (null hypothesis) was true.
B. The position of the sample mean relative to the critical region.
C. Whether or not there is a significant difference between M and μ.
D. The mathematical difference between M and μ.

Answer 1

The numerator of the Z test statistic measures the mathematical difference between the sample mean and the population mean.

Step-by-step explanation:

The numerator of the Z test statistic measures the mathematical difference between the sample mean (M) and the population mean (μ). This is the actual value that is computed when you perform a Z test to determine if there is a significant difference between the sample mean and the population mean, under the assumption that the null hypothesis is true.