Question

The value obtained for the test statistic, z, in a one-mean z-test is given. Also given is whether the test is two tailed, left tailed, or right tailed. Determine the P-value to four decimal places. A right-tailed test:

Z = 1.89
A. 0.9706
B. 0.9412
C. 0.0588
D. 0.0294

Answer 1

The p-value for a right-tailed one-mean z-test with Z = 1.89 is approximately 0.0294, which is option D.

Step-by-step explanation:

In a right-tailed test with a given test statistic, we determine the p-value by finding the area under the standard normal curve to the right of the test statistic. For the given test statistic Z = 1.89 in a one-mean z-test, we look up this value in the standard normal distribution table, or use software or a calculator with the capability to determine normal probabilities, to find the p-value.

For Z = 1.89, the area to the right of this z-value (P(Z > 1.89)) represents the p-value for a right-tailed test. Given the standard normal distribution properties, we find that the p-value associated with Z = 1.89 is roughly 0.0294.

Therefore, the p-value option for the one-mean z-test with Z = 1.89 for a right-tailed test is D. 0.0294.