The test statistic for a significance test for a population mean is z = -2.12.The hypotheses are H₀:  = 10 versus H_a:  > 10.What is the corresponding P-value?

A) 0.017
B) 0.034
C) 0.483
D) 0.983

Question

Kevin Gobellan · Accepted Answer

Final Answer : D, Explanation :  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 mean is z = -2.12.The hypotheses are H₀:  = 10 versus H_a:  > 10.What is the corresponding P-value?

A) 0.017
B) 0.034
C) 0.483
D) 0.983

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

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Learning Objectives

Related questions

The test statistic for a significance test for a population mean is z = -2.12.The hypotheses are H₀:  = 10 versus H_a:  > 10.What is the corresponding P-value?

A) 0.017
B) 0.034
C) 0.483
D) 0.983