In a test of the hypothesis H0: μ = 50 versus HA: μ > 50 a sample of n = 40 observations was found to have mean ??̅= 58 and standard deviation s = 25. a. Give the definition of a p-value. b. Calculate the p-value for this test. c. Can you reject the null hypothesis at the 10% level of significance? at the 5% level of significance? at the 1% level of significance?

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter3: Polynomials
Section3.S: Summary
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Problem 4_______________________________________________________
In a test of the hypothesis H0: μ = 50 versus HA: μ > 50 a sample of n = 40 observations was found to have
mean ??̅= 58 and standard deviation s = 25.
a. Give the definition of a p-value.
b. Calculate the p-value for this test.
c. Can you reject the null hypothesis at the 10% level of significance? at the 5% level of significance? at the
1% level of significance? Explain the criterion you use. Illustrate your answer with a graph.

 

 

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