If z represents the test statistic used which results in z=2.05, p

Question

If z represents the test statistic used which results in z=2.05, p<.05 what does this result indicate?
A) That 2.05 is the critical value
B) That 2.05 is not the critical value
C) The probability is less than 5% that on any one test of the null hypothesis, the sample and the population averages differ
D) The probability is less than 5% that on any one test of the null hypothesis, the sample and the population averages agree

Quizplus · Accepted Answer

A test statistic of z=2.05 with a p-value less than .05 indicates that the probability is less than 5% that on any one test of the null hypothesis, the sample and the population averages differ. Therefore, the correct choice is C. A and B are not valid because they suggest that the test statistic represents the critical value, which is not necessarily true. Answer D is also incorrect because it suggests that there is a probability of less than 5% that the sample and population averages agree, which is not relevant in this context.

If Z Represents the Test Statistic Used Which Results in Z=2.05