The test statistic for a significance test for a population mean is z = -2.12.The hypotheses are H₀: $\mu$= 10 versus H_a: $\mu$ 10.What is the corresponding P-value? A)0.017 B)0.034 C)0.483 D)0.983

Question

The test statistic for a significance test for a population mean is z = -2.12.The hypotheses are H₀: $\mu$= 10 versus H_a: $\mu$ > 10.What is the corresponding P-value? A)0.017 B)0.034 C)0.483 D)0.983

Quizplus · Accepted Answer

The test statistic z = -2.12 indicates that the sample mean is 2.12 standard deviations below the hypothesized population mean. Given the alternative hypothesis (μ > 10), we are conducting a one-tailed test to the right. However, our test statistic falls in the left tail, indicating that the p-value will be large. The correct p-value corresponds to the area to the right of z = -2.12, which is approximately 0.983. This means there is a 98.3% probability of observing a test statistic as extreme as -2.12 or more extreme under the null hypothesis.

The Test Statistic for a Significance Test for a Population μ\muμ

The Test Statistic for a Significance Test for a Population $\mu$